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Finding the Fourth Proportional to 2,297.20, 3,169.98 and 1,249.24

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Solution

The fourth proportional to 2,297.20, 3,169.98 and 1,249.24 is: 1,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.20 : 3,169.98 = 1,249.24 : x
  2. Step 2: Convert to fraction form
    2,297.20/3,169.98 = 1,249.24/x
  3. Step 3: Cross multiply
    2,297.20x = 3,169.98 × 1,249.24
  4. Step 4: Simplify right side
    2,297.20x = 3,960,065.82
  5. Step 5: Solve for x
    x = 3,960,065.82/2,297.20
  6. Step 6: Final answer
    x = 1,723.87

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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.