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Finding the Fourth Proportional to 3,227.49, 4,454.46 and 1,968.75

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Solution

The fourth proportional to 3,227.49, 4,454.46 and 1,968.75 is: 2,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.49 : 4,454.46 = 1,968.75 : x
  2. Step 2: Convert to fraction form
    3,227.49/4,454.46 = 1,968.75/x
  3. Step 3: Cross multiply
    3,227.49x = 4,454.46 × 1,968.75
  4. Step 4: Simplify right side
    3,227.49x = 8,769,718.13
  5. Step 5: Solve for x
    x = 8,769,718.13/3,227.49
  6. Step 6: Final answer
    x = 2,717.19

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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.