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Finding the Fourth Proportional to 2,297.97, 3,171.22 and 1,250.05

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Solution

The fourth proportional to 2,297.97, 3,171.22 and 1,250.05 is: 1,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.97 : 3,171.22 = 1,250.05 : x
  2. Step 2: Convert to fraction form
    2,297.97/3,171.22 = 1,250.05/x
  3. Step 3: Cross multiply
    2,297.97x = 3,171.22 × 1,250.05
  4. Step 4: Simplify right side
    2,297.97x = 3,964,183.56
  5. Step 5: Solve for x
    x = 3,964,183.56/2,297.97
  6. Step 6: Final answer
    x = 1,725.08

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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.