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Finding the Fourth Proportional to 2,767.43, 4,151.16 and 819.79

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Solution

The fourth proportional to 2,767.43, 4,151.16 and 819.79 is: 1,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.43 : 4,151.16 = 819.79 : x
  2. Step 2: Convert to fraction form
    2,767.43/4,151.16 = 819.79/x
  3. Step 3: Cross multiply
    2,767.43x = 4,151.16 × 819.79
  4. Step 4: Simplify right side
    2,767.43x = 3,403,069.08
  5. Step 5: Solve for x
    x = 3,403,069.08/2,767.43
  6. Step 6: Final answer
    x = 1,229.68

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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.