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Finding the Fourth Proportional to 2,299.98, 3,173.98 and 1,252.04

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Solution

The fourth proportional to 2,299.98, 3,173.98 and 1,252.04 is: 1,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.98 : 3,173.98 = 1,252.04 : x
  2. Step 2: Convert to fraction form
    2,299.98/3,173.98 = 1,252.04/x
  3. Step 3: Cross multiply
    2,299.98x = 3,173.98 × 1,252.04
  4. Step 4: Simplify right side
    2,299.98x = 3,973,949.92
  5. Step 5: Solve for x
    x = 3,973,949.92/2,299.98
  6. Step 6: Final answer
    x = 1,727.82

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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.