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Finding the Fourth Proportional to 2,232.38, 3,356.17 and 1,824.48

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Solution

The fourth proportional to 2,232.38, 3,356.17 and 1,824.48 is: 2,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.38 : 3,356.17 = 1,824.48 : x
  2. Step 2: Convert to fraction form
    2,232.38/3,356.17 = 1,824.48/x
  3. Step 3: Cross multiply
    2,232.38x = 3,356.17 × 1,824.48
  4. Step 4: Simplify right side
    2,232.38x = 6,123,265.04
  5. Step 5: Solve for x
    x = 6,123,265.04/2,232.38
  6. Step 6: Final answer
    x = 2,742.93

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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.