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Finding the Fourth Proportional to 2,297.34, 3,170.37 and 1,249.41

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Solution

The fourth proportional to 2,297.34, 3,170.37 and 1,249.41 is: 1,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.34 : 3,170.37 = 1,249.41 : x
  2. Step 2: Convert to fraction form
    2,297.34/3,170.37 = 1,249.41/x
  3. Step 3: Cross multiply
    2,297.34x = 3,170.37 × 1,249.41
  4. Step 4: Simplify right side
    2,297.34x = 3,961,091.98
  5. Step 5: Solve for x
    x = 3,961,091.98/2,297.34
  6. Step 6: Final answer
    x = 1,724.21

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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.