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Finding the Fourth Proportional to 2,720.97, 4,082.00 and 965.97

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Solution

The fourth proportional to 2,720.97, 4,082.00 and 965.97 is: 1,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.97 : 4,082.00 = 965.97 : x
  2. Step 2: Convert to fraction form
    2,720.97/4,082.00 = 965.97/x
  3. Step 3: Cross multiply
    2,720.97x = 4,082.00 × 965.97
  4. Step 4: Simplify right side
    2,720.97x = 3,943,084.71
  5. Step 5: Solve for x
    x = 3,943,084.71/2,720.97
  6. Step 6: Final answer
    x = 1,449.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.