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Finding the Fourth Proportional to 2,297.23, 3,170.14 and 1,249.27

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Solution

The fourth proportional to 2,297.23, 3,170.14 and 1,249.27 is: 1,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.23 : 3,170.14 = 1,249.27 : x
  2. Step 2: Convert to fraction form
    2,297.23/3,170.14 = 1,249.27/x
  3. Step 3: Cross multiply
    2,297.23x = 3,170.14 × 1,249.27
  4. Step 4: Simplify right side
    2,297.23x = 3,960,360.80
  5. Step 5: Solve for x
    x = 3,960,360.80/2,297.23
  6. Step 6: Final answer
    x = 1,723.97

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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.