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Finding the Fourth Proportional to 3,124.16, 4,685.12 and 932.48

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Solution

The fourth proportional to 3,124.16, 4,685.12 and 932.48 is: 1,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.16 : 4,685.12 = 932.48 : x
  2. Step 2: Convert to fraction form
    3,124.16/4,685.12 = 932.48/x
  3. Step 3: Cross multiply
    3,124.16x = 4,685.12 × 932.48
  4. Step 4: Simplify right side
    3,124.16x = 4,368,780.70
  5. Step 5: Solve for x
    x = 4,368,780.70/3,124.16
  6. Step 6: Final answer
    x = 1,398.39

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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.