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Finding the Fourth Proportional to 2,193.56, 3,287.48 and 1,150.92

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Solution

The fourth proportional to 2,193.56, 3,287.48 and 1,150.92 is: 1,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.56 : 3,287.48 = 1,150.92 : x
  2. Step 2: Convert to fraction form
    2,193.56/3,287.48 = 1,150.92/x
  3. Step 3: Cross multiply
    2,193.56x = 3,287.48 × 1,150.92
  4. Step 4: Simplify right side
    2,193.56x = 3,783,626.48
  5. Step 5: Solve for x
    x = 3,783,626.48/2,193.56
  6. Step 6: Final answer
    x = 1,724.88

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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.