A hot air balloon has a volume of 2800 cubic meters. The balloon fabric weighs 920 Newtons. The basket with gear and full propane tanks weighs 2150 Newtons. If the balloon can barely lift an additional 3500 Newtons of passengers, breakfast, and champagne when the outside air density is 1.26 kg/m^3, what is the average density of the heated gases in the envelope?
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