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Finding the Fourth Proportional to 2,487.32, 3,727.71 and 1,025.66

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Solution

The fourth proportional to 2,487.32, 3,727.71 and 1,025.66 is: 1,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.32 : 3,727.71 = 1,025.66 : x
  2. Step 2: Convert to fraction form
    2,487.32/3,727.71 = 1,025.66/x
  3. Step 3: Cross multiply
    2,487.32x = 3,727.71 × 1,025.66
  4. Step 4: Simplify right side
    2,487.32x = 3,823,363.04
  5. Step 5: Solve for x
    x = 3,823,363.04/2,487.32
  6. Step 6: Final answer
    x = 1,537.14

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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.