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Finding the Fourth Proportional to 2,287.82, 3,432.14 and 1,193.11

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Solution

The fourth proportional to 2,287.82, 3,432.14 and 1,193.11 is: 1,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.82 : 3,432.14 = 1,193.11 : x
  2. Step 2: Convert to fraction form
    2,287.82/3,432.14 = 1,193.11/x
  3. Step 3: Cross multiply
    2,287.82x = 3,432.14 × 1,193.11
  4. Step 4: Simplify right side
    2,287.82x = 4,094,920.56
  5. Step 5: Solve for x
    x = 4,094,920.56/2,287.82
  6. Step 6: Final answer
    x = 1,789.88

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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.