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Finding the Fourth Proportional to 3,124.14, 4,685.79 and 932.46

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Solution

The fourth proportional to 3,124.14, 4,685.79 and 932.46 is: 1,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.14 : 4,685.79 = 932.46 : x
  2. Step 2: Convert to fraction form
    3,124.14/4,685.79 = 932.46/x
  3. Step 3: Cross multiply
    3,124.14x = 4,685.79 × 932.46
  4. Step 4: Simplify right side
    3,124.14x = 4,369,311.74
  5. Step 5: Solve for x
    x = 4,369,311.74/3,124.14
  6. Step 6: Final answer
    x = 1,398.56

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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.