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Finding the Fourth Proportional to 1,432.28, 2,148.62 and 701.88

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Solution

The fourth proportional to 1,432.28, 2,148.62 and 701.88 is: 1,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.28 : 2,148.62 = 701.88 : x
  2. Step 2: Convert to fraction form
    1,432.28/2,148.62 = 701.88/x
  3. Step 3: Cross multiply
    1,432.28x = 2,148.62 × 701.88
  4. Step 4: Simplify right side
    1,432.28x = 1,508,069.90
  5. Step 5: Solve for x
    x = 1,508,069.90/1,432.28
  6. Step 6: Final answer
    x = 1,052.92

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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.