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Finding the Fourth Proportional to 2,965.56, 4,449.13 and 2,469.28

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Solution

The fourth proportional to 2,965.56, 4,449.13 and 2,469.28 is: 3,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.56 : 4,449.13 = 2,469.28 : x
  2. Step 2: Convert to fraction form
    2,965.56/4,449.13 = 2,469.28/x
  3. Step 3: Cross multiply
    2,965.56x = 4,449.13 × 2,469.28
  4. Step 4: Simplify right side
    2,965.56x = 10,986,147.73
  5. Step 5: Solve for x
    x = 10,986,147.73/2,965.56
  6. Step 6: Final answer
    x = 3,704.58

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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.