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Finding the Fourth Proportional to 2,297.59, 3,170.71 and 1,249.66

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Solution

The fourth proportional to 2,297.59, 3,170.71 and 1,249.66 is: 1,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.59 : 3,170.71 = 1,249.66 : x
  2. Step 2: Convert to fraction form
    2,297.59/3,170.71 = 1,249.66/x
  3. Step 3: Cross multiply
    2,297.59x = 3,170.71 × 1,249.66
  4. Step 4: Simplify right side
    2,297.59x = 3,962,309.46
  5. Step 5: Solve for x
    x = 3,962,309.46/2,297.59
  6. Step 6: Final answer
    x = 1,724.55

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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.