WASHINGTON (CNN) -- The Senate decisively voted against a measure that proposed cutting off funding for the Iraq war in March of 2008, one of three Iraq measures the Senate voted on Wednesday morning.

The amendment, backed by Senate Majority Leader Harry Reid, D-Nevada, Sen. Russ Feingold, D-Wisconsin, and Sen. Chris Dodd, D-Connecticut, was defeated by a vote of 29-67, 31 votes short of the 60 needed for the it to pass.

In addition to Dodd, the three other Democratic senators running for president -- Sens. Joe Biden of Delaware, Hillary Clinton of New York, and Barack Obama of Illinois -- all voted for the measure.

These three White House hopefuls had previously expressed reluctance over supporting a measure that directly cuts off funding for the war. Earlier this week, Dodd began airing a campaign commercial in Iowa and New Hampshire criticizing his fellow senators seeking the White House for not supporting the amendment.

Meanwhile, the Senate also narrowly rejected a measure backed by GOP Sens. John Warner of Virginia and Susan Collins of Maine that calls on President Bush to report to Congress on the progress in Iraq twice between now and September. The 52-44 vote was supported by all voting Republicans except Sens. Jon Kyl of Arizona, David Vitter of Louisiana and James Inhofe of Oklahoma.

A third measure that called on the Senate to pass a war spending bill by the end of May easily passed, 87-9.