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Finding the Fourth Proportional to 3,171.75, 4,755.90 and 2,249.12

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Solution

The fourth proportional to 3,171.75, 4,755.90 and 2,249.12 is: 3,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.75 : 4,755.90 = 2,249.12 : x
  2. Step 2: Convert to fraction form
    3,171.75/4,755.90 = 2,249.12/x
  3. Step 3: Cross multiply
    3,171.75x = 4,755.90 × 2,249.12
  4. Step 4: Simplify right side
    3,171.75x = 10,696,589.81
  5. Step 5: Solve for x
    x = 10,696,589.81/3,171.75
  6. Step 6: Final answer
    x = 3,372.46

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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.