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Finding the Fourth Proportional to 2,297.10, 3,169.97 and 1,249.16

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Solution

The fourth proportional to 2,297.10, 3,169.97 and 1,249.16 is: 1,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.10 : 3,169.97 = 1,249.16 : x
  2. Step 2: Convert to fraction form
    2,297.10/3,169.97 = 1,249.16/x
  3. Step 3: Cross multiply
    2,297.10x = 3,169.97 × 1,249.16
  4. Step 4: Simplify right side
    2,297.10x = 3,959,799.73
  5. Step 5: Solve for x
    x = 3,959,799.73/2,297.10
  6. Step 6: Final answer
    x = 1,723.83

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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.