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Finding the Fourth Proportional to 2,297.74, 3,170.92 and 1,249.80

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Solution

The fourth proportional to 2,297.74, 3,170.92 and 1,249.80 is: 1,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.74 : 3,170.92 = 1,249.80 : x
  2. Step 2: Convert to fraction form
    2,297.74/3,170.92 = 1,249.80/x
  3. Step 3: Cross multiply
    2,297.74x = 3,170.92 × 1,249.80
  4. Step 4: Simplify right side
    2,297.74x = 3,963,033.41
  5. Step 5: Solve for x
    x = 3,963,033.41/2,297.74
  6. Step 6: Final answer
    x = 1,724.75

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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.