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Finding the Fourth Proportional to 2,722.24, 3,757.05 and 2,648.11

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Solution

The fourth proportional to 2,722.24, 3,757.05 and 2,648.11 is: 3,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.24 : 3,757.05 = 2,648.11 : x
  2. Step 2: Convert to fraction form
    2,722.24/3,757.05 = 2,648.11/x
  3. Step 3: Cross multiply
    2,722.24x = 3,757.05 × 2,648.11
  4. Step 4: Simplify right side
    2,722.24x = 9,949,081.68
  5. Step 5: Solve for x
    x = 9,949,081.68/2,722.24
  6. Step 6: Final answer
    x = 3,654.74

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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.