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Finding the Fourth Proportional to 2,392.97, 3,587.90 and 932.27

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Solution

The fourth proportional to 2,392.97, 3,587.90 and 932.27 is: 1,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.97 : 3,587.90 = 932.27 : x
  2. Step 2: Convert to fraction form
    2,392.97/3,587.90 = 932.27/x
  3. Step 3: Cross multiply
    2,392.97x = 3,587.90 × 932.27
  4. Step 4: Simplify right side
    2,392.97x = 3,344,868.93
  5. Step 5: Solve for x
    x = 3,344,868.93/2,392.97
  6. Step 6: Final answer
    x = 1,397.79

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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.