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Finding the Fourth Proportional to 2,024.64, 3,034.08 and 1,640.16

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Solution

The fourth proportional to 2,024.64, 3,034.08 and 1,640.16 is: 2,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.64 : 3,034.08 = 1,640.16 : x
  2. Step 2: Convert to fraction form
    2,024.64/3,034.08 = 1,640.16/x
  3. Step 3: Cross multiply
    2,024.64x = 3,034.08 × 1,640.16
  4. Step 4: Simplify right side
    2,024.64x = 4,976,376.65
  5. Step 5: Solve for x
    x = 4,976,376.65/2,024.64
  6. Step 6: Final answer
    x = 2,457.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.