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Finding the Fourth Proportional to 2,217.80, 3,323.18 and 1,229.76

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Solution

The fourth proportional to 2,217.80, 3,323.18 and 1,229.76 is: 1,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.80 : 3,323.18 = 1,229.76 : x
  2. Step 2: Convert to fraction form
    2,217.80/3,323.18 = 1,229.76/x
  3. Step 3: Cross multiply
    2,217.80x = 3,323.18 × 1,229.76
  4. Step 4: Simplify right side
    2,217.80x = 4,086,716.91
  5. Step 5: Solve for x
    x = 4,086,716.91/2,217.80
  6. Step 6: Final answer
    x = 1,842.69

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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.