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Finding the Fourth Proportional to 2,697.92, 3,723.52 and 2,531.14

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Solution

The fourth proportional to 2,697.92, 3,723.52 and 2,531.14 is: 3,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.92 : 3,723.52 = 2,531.14 : x
  2. Step 2: Convert to fraction form
    2,697.92/3,723.52 = 2,531.14/x
  3. Step 3: Cross multiply
    2,697.92x = 3,723.52 × 2,531.14
  4. Step 4: Simplify right side
    2,697.92x = 9,424,750.41
  5. Step 5: Solve for x
    x = 9,424,750.41/2,697.92
  6. Step 6: Final answer
    x = 3,493.34

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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.