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Finding the Fourth Proportional to 3,229.17, 4,454.90 and 1,969.21

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Solution

The fourth proportional to 3,229.17, 4,454.90 and 1,969.21 is: 2,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.17 : 4,454.90 = 1,969.21 : x
  2. Step 2: Convert to fraction form
    3,229.17/4,454.90 = 1,969.21/x
  3. Step 3: Cross multiply
    3,229.17x = 4,454.90 × 1,969.21
  4. Step 4: Simplify right side
    3,229.17x = 8,772,636.74
  5. Step 5: Solve for x
    x = 8,772,636.74/3,229.17
  6. Step 6: Final answer
    x = 2,716.69

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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.