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Finding the Fourth Proportional to 1,432.68, 2,148.38 and 702.12

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Solution

The fourth proportional to 1,432.68, 2,148.38 and 702.12 is: 1,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.68 : 2,148.38 = 702.12 : x
  2. Step 2: Convert to fraction form
    1,432.68/2,148.38 = 702.12/x
  3. Step 3: Cross multiply
    1,432.68x = 2,148.38 × 702.12
  4. Step 4: Simplify right side
    1,432.68x = 1,508,420.57
  5. Step 5: Solve for x
    x = 1,508,420.57/1,432.68
  6. Step 6: Final answer
    x = 1,052.87

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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.