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Finding the Fourth Proportional to 3,012.62, 4,517.89 and 932.34

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Solution

The fourth proportional to 3,012.62, 4,517.89 and 932.34 is: 1,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.62 : 4,517.89 = 932.34 : x
  2. Step 2: Convert to fraction form
    3,012.62/4,517.89 = 932.34/x
  3. Step 3: Cross multiply
    3,012.62x = 4,517.89 × 932.34
  4. Step 4: Simplify right side
    3,012.62x = 4,212,209.56
  5. Step 5: Solve for x
    x = 4,212,209.56/3,012.62
  6. Step 6: Final answer
    x = 1,398.19

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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.