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Finding the Fourth Proportional to 3,255.69, 4,493.31 and 1,996.83

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Solution

The fourth proportional to 3,255.69, 4,493.31 and 1,996.83 is: 2,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.69 : 4,493.31 = 1,996.83 : x
  2. Step 2: Convert to fraction form
    3,255.69/4,493.31 = 1,996.83/x
  3. Step 3: Cross multiply
    3,255.69x = 4,493.31 × 1,996.83
  4. Step 4: Simplify right side
    3,255.69x = 8,972,376.21
  5. Step 5: Solve for x
    x = 8,972,376.21/3,255.69
  6. Step 6: Final answer
    x = 2,755.91

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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.