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Finding the Fourth Proportional to 3,011.15, 4,516.73 and 819.90

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Solution

The fourth proportional to 3,011.15, 4,516.73 and 819.90 is: 1,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.15 : 4,516.73 = 819.90 : x
  2. Step 2: Convert to fraction form
    3,011.15/4,516.73 = 819.90/x
  3. Step 3: Cross multiply
    3,011.15x = 4,516.73 × 819.90
  4. Step 4: Simplify right side
    3,011.15x = 3,703,266.93
  5. Step 5: Solve for x
    x = 3,703,266.93/3,011.15
  6. Step 6: Final answer
    x = 1,229.85

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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.