A, B, C, and D buy a yacht together, and the ratio of the money paid by A to the total money of the other three is 1:2. The ratio of the money paid by B to the total money of the other three is 1:3. The ratio of the money paid by C to the total money of the other three people is 1:4. Ding paid 650 yuan. How much does it cost to buy this yacht?
甲、乙、丙、丁共买一艘游艇，甲付的钱与其余三人总钱数的比是1：2．乙付的钱与其余三人总钱数的比是1：3．丙付的钱与其余三人总钱数的比是1：4．丁支付650元钱．求购买这只游艇共需多少钱．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 - (1/3) - (1/4) - (1/5)</gadget>
<output>13/60 = around 0.216667</output>

<gadget id="calculator">650 / (13/60)</gadget>
<output>3_000</output>

<result>3_000</result>