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Finding the Fourth Proportional to 3,238.97, 4,850.24 and 2,002.63

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Solution

The fourth proportional to 3,238.97, 4,850.24 and 2,002.63 is: 2,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.97 : 4,850.24 = 2,002.63 : x
  2. Step 2: Convert to fraction form
    3,238.97/4,850.24 = 2,002.63/x
  3. Step 3: Cross multiply
    3,238.97x = 4,850.24 × 2,002.63
  4. Step 4: Simplify right side
    3,238.97x = 9,713,229.01
  5. Step 5: Solve for x
    x = 9,713,229.01/3,238.97
  6. Step 6: Final answer
    x = 2,998.87

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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.