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Finding the Fourth Proportional to 2,297.64, 3,170.82 and 1,249.74

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Solution

The fourth proportional to 2,297.64, 3,170.82 and 1,249.74 is: 1,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.64 : 3,170.82 = 1,249.74 : x
  2. Step 2: Convert to fraction form
    2,297.64/3,170.82 = 1,249.74/x
  3. Step 3: Cross multiply
    2,297.64x = 3,170.82 × 1,249.74
  4. Step 4: Simplify right side
    2,297.64x = 3,962,700.59
  5. Step 5: Solve for x
    x = 3,962,700.59/2,297.64
  6. Step 6: Final answer
    x = 1,724.68

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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.