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Finding the Fourth Proportional to 2,297.72, 3,170.86 and 1,249.79

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Solution

The fourth proportional to 2,297.72, 3,170.86 and 1,249.79 is: 1,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.72 : 3,170.86 = 1,249.79 : x
  2. Step 2: Convert to fraction form
    2,297.72/3,170.86 = 1,249.79/x
  3. Step 3: Cross multiply
    2,297.72x = 3,170.86 × 1,249.79
  4. Step 4: Simplify right side
    2,297.72x = 3,962,890.14
  5. Step 5: Solve for x
    x = 3,962,890.14/2,297.72
  6. Step 6: Final answer
    x = 1,724.70

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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.