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Finding the Fourth Proportional to 3,224.90, 4,449.20 and 1,965.08

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Solution

The fourth proportional to 3,224.90, 4,449.20 and 1,965.08 is: 2,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.90 : 4,449.20 = 1,965.08 : x
  2. Step 2: Convert to fraction form
    3,224.90/4,449.20 = 1,965.08/x
  3. Step 3: Cross multiply
    3,224.90x = 4,449.20 × 1,965.08
  4. Step 4: Simplify right side
    3,224.90x = 8,743,035.23
  5. Step 5: Solve for x
    x = 8,743,035.23/3,224.90
  6. Step 6: Final answer
    x = 2,711.10

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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.