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Finding the Fourth Proportional to 1,687.38, 2,532.37 and 1,102.22

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Solution

The fourth proportional to 1,687.38, 2,532.37 and 1,102.22 is: 1,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.38 : 2,532.37 = 1,102.22 : x
  2. Step 2: Convert to fraction form
    1,687.38/2,532.37 = 1,102.22/x
  3. Step 3: Cross multiply
    1,687.38x = 2,532.37 × 1,102.22
  4. Step 4: Simplify right side
    1,687.38x = 2,791,228.86
  5. Step 5: Solve for x
    x = 2,791,228.86/1,687.38
  6. Step 6: Final answer
    x = 1,654.18

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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.