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Finding the Fourth Proportional to 2,217.88, 3,326.82 and 917.92

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Solution

The fourth proportional to 2,217.88, 3,326.82 and 917.92 is: 1,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.88 : 3,326.82 = 917.92 : x
  2. Step 2: Convert to fraction form
    2,217.88/3,326.82 = 917.92/x
  3. Step 3: Cross multiply
    2,217.88x = 3,326.82 × 917.92
  4. Step 4: Simplify right side
    2,217.88x = 3,053,754.61
  5. Step 5: Solve for x
    x = 3,053,754.61/2,217.88
  6. Step 6: Final answer
    x = 1,376.88

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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.