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Finding the Fourth Proportional to 2,819.53, 4,228.17 and 1,174.96

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Solution

The fourth proportional to 2,819.53, 4,228.17 and 1,174.96 is: 1,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.53 : 4,228.17 = 1,174.96 : x
  2. Step 2: Convert to fraction form
    2,819.53/4,228.17 = 1,174.96/x
  3. Step 3: Cross multiply
    2,819.53x = 4,228.17 × 1,174.96
  4. Step 4: Simplify right side
    2,819.53x = 4,967,930.62
  5. Step 5: Solve for x
    x = 4,967,930.62/2,819.53
  6. Step 6: Final answer
    x = 1,761.97

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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.