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Finding the Fourth Proportional to 3,239.50, 4,470.52 and 1,997.50

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Solution

The fourth proportional to 3,239.50, 4,470.52 and 1,997.50 is: 2,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.50 : 4,470.52 = 1,997.50 : x
  2. Step 2: Convert to fraction form
    3,239.50/4,470.52 = 1,997.50/x
  3. Step 3: Cross multiply
    3,239.50x = 4,470.52 × 1,997.50
  4. Step 4: Simplify right side
    3,239.50x = 8,929,863.70
  5. Step 5: Solve for x
    x = 8,929,863.70/3,239.50
  6. Step 6: Final answer
    x = 2,756.56

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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.