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Finding the Fourth Proportional to 2,392.98, 3,587.88 and 932.28

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Solution

The fourth proportional to 2,392.98, 3,587.88 and 932.28 is: 1,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.98 : 3,587.88 = 932.28 : x
  2. Step 2: Convert to fraction form
    2,392.98/3,587.88 = 932.28/x
  3. Step 3: Cross multiply
    2,392.98x = 3,587.88 × 932.28
  4. Step 4: Simplify right side
    2,392.98x = 3,344,908.77
  5. Step 5: Solve for x
    x = 3,344,908.77/2,392.98
  6. Step 6: Final answer
    x = 1,397.80

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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.