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Finding the Fourth Proportional to 3,286.73, 4,932.62 and 1,340.57

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Solution

The fourth proportional to 3,286.73, 4,932.62 and 1,340.57 is: 2,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.73 : 4,932.62 = 1,340.57 : x
  2. Step 2: Convert to fraction form
    3,286.73/4,932.62 = 1,340.57/x
  3. Step 3: Cross multiply
    3,286.73x = 4,932.62 × 1,340.57
  4. Step 4: Simplify right side
    3,286.73x = 6,612,491.03
  5. Step 5: Solve for x
    x = 6,612,491.03/3,286.73
  6. Step 6: Final answer
    x = 2,011.88

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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.