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Finding the Fourth Proportional to 2,297.20, 3,170.14 and 1,249.26

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Solution

The fourth proportional to 2,297.20, 3,170.14 and 1,249.26 is: 1,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.20 : 3,170.14 = 1,249.26 : x
  2. Step 2: Convert to fraction form
    2,297.20/3,170.14 = 1,249.26/x
  3. Step 3: Cross multiply
    2,297.20x = 3,170.14 × 1,249.26
  4. Step 4: Simplify right side
    2,297.20x = 3,960,329.10
  5. Step 5: Solve for x
    x = 3,960,329.10/2,297.20
  6. Step 6: Final answer
    x = 1,723.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.