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Finding the Fourth Proportional to 2,652.43, 3,660.15 and 1,532.61

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Solution

The fourth proportional to 2,652.43, 3,660.15 and 1,532.61 is: 2,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.43 : 3,660.15 = 1,532.61 : x
  2. Step 2: Convert to fraction form
    2,652.43/3,660.15 = 1,532.61/x
  3. Step 3: Cross multiply
    2,652.43x = 3,660.15 × 1,532.61
  4. Step 4: Simplify right side
    2,652.43x = 5,609,582.49
  5. Step 5: Solve for x
    x = 5,609,582.49/2,652.43
  6. Step 6: Final answer
    x = 2,114.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.