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Finding the Fourth Proportional to 2,724.60, 3,761.82 and 2,228.28

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Solution

The fourth proportional to 2,724.60, 3,761.82 and 2,228.28 is: 3,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.60 : 3,761.82 = 2,228.28 : x
  2. Step 2: Convert to fraction form
    2,724.60/3,761.82 = 2,228.28/x
  3. Step 3: Cross multiply
    2,724.60x = 3,761.82 × 2,228.28
  4. Step 4: Simplify right side
    2,724.60x = 8,382,388.27
  5. Step 5: Solve for x
    x = 8,382,388.27/2,724.60
  6. Step 6: Final answer
    x = 3,076.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.