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Finding the Fourth Proportional to 2,891.60, 4,338.12 and 811.61

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Solution

The fourth proportional to 2,891.60, 4,338.12 and 811.61 is: 1,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.60 : 4,338.12 = 811.61 : x
  2. Step 2: Convert to fraction form
    2,891.60/4,338.12 = 811.61/x
  3. Step 3: Cross multiply
    2,891.60x = 4,338.12 × 811.61
  4. Step 4: Simplify right side
    2,891.60x = 3,520,839.88
  5. Step 5: Solve for x
    x = 3,520,839.88/2,891.60
  6. Step 6: Final answer
    x = 1,217.61

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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.