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Finding the Fourth Proportional to 3,011.28, 4,516.86 and 819.99

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Solution

The fourth proportional to 3,011.28, 4,516.86 and 819.99 is: 1,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.28 : 4,516.86 = 819.99 : x
  2. Step 2: Convert to fraction form
    3,011.28/4,516.86 = 819.99/x
  3. Step 3: Cross multiply
    3,011.28x = 4,516.86 × 819.99
  4. Step 4: Simplify right side
    3,011.28x = 3,703,783.11
  5. Step 5: Solve for x
    x = 3,703,783.11/3,011.28
  6. Step 6: Final answer
    x = 1,229.97

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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.