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Finding the Fourth Proportional to 2,297.26, 3,170.25 and 1,249.33

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Solution

The fourth proportional to 2,297.26, 3,170.25 and 1,249.33 is: 1,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.26 : 3,170.25 = 1,249.33 : x
  2. Step 2: Convert to fraction form
    2,297.26/3,170.25 = 1,249.33/x
  3. Step 3: Cross multiply
    2,297.26x = 3,170.25 × 1,249.33
  4. Step 4: Simplify right side
    2,297.26x = 3,960,688.43
  5. Step 5: Solve for x
    x = 3,960,688.43/2,297.26
  6. Step 6: Final answer
    x = 1,724.09

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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.