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Finding the Fourth Proportional to 1,452.40, 2,174.88 and 932.96

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Solution

The fourth proportional to 1,452.40, 2,174.88 and 932.96 is: 1,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.40 : 2,174.88 = 932.96 : x
  2. Step 2: Convert to fraction form
    1,452.40/2,174.88 = 932.96/x
  3. Step 3: Cross multiply
    1,452.40x = 2,174.88 × 932.96
  4. Step 4: Simplify right side
    1,452.40x = 2,029,076.04
  5. Step 5: Solve for x
    x = 2,029,076.04/1,452.40
  6. Step 6: Final answer
    x = 1,397.05

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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.