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Finding the Fourth Proportional to 2,299.97, 3,173.99 and 1,252.04

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Solution

The fourth proportional to 2,299.97, 3,173.99 and 1,252.04 is: 1,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.97 : 3,173.99 = 1,252.04 : x
  2. Step 2: Convert to fraction form
    2,299.97/3,173.99 = 1,252.04/x
  3. Step 3: Cross multiply
    2,299.97x = 3,173.99 × 1,252.04
  4. Step 4: Simplify right side
    2,299.97x = 3,973,949.70
  5. Step 5: Solve for x
    x = 3,973,949.70/2,299.97
  6. Step 6: Final answer
    x = 1,727.83

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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.