Crude oil futures rose on Tuesday, pushed up by a weaker dollar and a flood of new cash into the market, but analysts warned that fundamentals remain weak as a producer race for customers heats up in the Middle East. Front-month Brent crude futures LCOc1 were trading at $44.91 per barrel at 0129 GMT (2129 EDT), up 43 cents, or around 1 percent, from their last settlement. U.S. crude futures CLc1 were also up around half a dollar and 1 percent at $43.10. Futures traders said prices had been lifted by a weaker dollar overnight .DXY, which potentially spurs demand from fuel importers using other currencies than the greenback, in which crude is traded. A rush of new investment into crude futures was also pushing up prices as speculators […]