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Finding the Fourth Proportional to 3,011.12, 4,516.80 and 819.92

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Solution

The fourth proportional to 3,011.12, 4,516.80 and 819.92 is: 1,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.12 : 4,516.80 = 819.92 : x
  2. Step 2: Convert to fraction form
    3,011.12/4,516.80 = 819.92/x
  3. Step 3: Cross multiply
    3,011.12x = 4,516.80 × 819.92
  4. Step 4: Simplify right side
    3,011.12x = 3,703,414.66
  5. Step 5: Solve for x
    x = 3,703,414.66/3,011.12
  6. Step 6: Final answer
    x = 1,229.91

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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.