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Finding the Fourth Proportional to 2,574.44, 3,861.78 and 819.62

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Solution

The fourth proportional to 2,574.44, 3,861.78 and 819.62 is: 1,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.44 : 3,861.78 = 819.62 : x
  2. Step 2: Convert to fraction form
    2,574.44/3,861.78 = 819.62/x
  3. Step 3: Cross multiply
    2,574.44x = 3,861.78 × 819.62
  4. Step 4: Simplify right side
    2,574.44x = 3,165,192.12
  5. Step 5: Solve for x
    x = 3,165,192.12/2,574.44
  6. Step 6: Final answer
    x = 1,229.47

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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.