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Finding the Fourth Proportional to 2,331.87, 3,499.32 and 2,144.16

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Solution

The fourth proportional to 2,331.87, 3,499.32 and 2,144.16 is: 3,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.87 : 3,499.32 = 2,144.16 : x
  2. Step 2: Convert to fraction form
    2,331.87/3,499.32 = 2,144.16/x
  3. Step 3: Cross multiply
    2,331.87x = 3,499.32 × 2,144.16
  4. Step 4: Simplify right side
    2,331.87x = 7,503,101.97
  5. Step 5: Solve for x
    x = 7,503,101.97/2,331.87
  6. Step 6: Final answer
    x = 3,217.63

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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.