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Finding the Fourth Proportional to 2,797.29, 4,175.19 and 2,469.24

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Solution

The fourth proportional to 2,797.29, 4,175.19 and 2,469.24 is: 3,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.29 : 4,175.19 = 2,469.24 : x
  2. Step 2: Convert to fraction form
    2,797.29/4,175.19 = 2,469.24/x
  3. Step 3: Cross multiply
    2,797.29x = 4,175.19 × 2,469.24
  4. Step 4: Simplify right side
    2,797.29x = 10,309,546.16
  5. Step 5: Solve for x
    x = 10,309,546.16/2,797.29
  6. Step 6: Final answer
    x = 3,685.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.