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Finding the Fourth Proportional to 2,819.29, 4,229.55 and 844.83

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Solution

The fourth proportional to 2,819.29, 4,229.55 and 844.83 is: 1,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.29 : 4,229.55 = 844.83 : x
  2. Step 2: Convert to fraction form
    2,819.29/4,229.55 = 844.83/x
  3. Step 3: Cross multiply
    2,819.29x = 4,229.55 × 844.83
  4. Step 4: Simplify right side
    2,819.29x = 3,573,261.30
  5. Step 5: Solve for x
    x = 3,573,261.30/2,819.29
  6. Step 6: Final answer
    x = 1,267.44

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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.