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Finding the Fourth Proportional to 1,421.32, 2,129.18 and 932.88

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Solution

The fourth proportional to 1,421.32, 2,129.18 and 932.88 is: 1,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.32 : 2,129.18 = 932.88 : x
  2. Step 2: Convert to fraction form
    1,421.32/2,129.18 = 932.88/x
  3. Step 3: Cross multiply
    1,421.32x = 2,129.18 × 932.88
  4. Step 4: Simplify right side
    1,421.32x = 1,986,269.44
  5. Step 5: Solve for x
    x = 1,986,269.44/1,421.32
  6. Step 6: Final answer
    x = 1,397.48

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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.