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Finding the Fourth Proportional to 3,011.20, 4,516.28 and 819.64

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Solution

The fourth proportional to 3,011.20, 4,516.28 and 819.64 is: 1,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.20 : 4,516.28 = 819.64 : x
  2. Step 2: Convert to fraction form
    3,011.20/4,516.28 = 819.64/x
  3. Step 3: Cross multiply
    3,011.20x = 4,516.28 × 819.64
  4. Step 4: Simplify right side
    3,011.20x = 3,701,723.74
  5. Step 5: Solve for x
    x = 3,701,723.74/3,011.20
  6. Step 6: Final answer
    x = 1,229.32

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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.