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Finding the Fourth Proportional to 2,297.59, 3,170.67 and 1,249.65

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Solution

The fourth proportional to 2,297.59, 3,170.67 and 1,249.65 is: 1,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.59 : 3,170.67 = 1,249.65 : x
  2. Step 2: Convert to fraction form
    2,297.59/3,170.67 = 1,249.65/x
  3. Step 3: Cross multiply
    2,297.59x = 3,170.67 × 1,249.65
  4. Step 4: Simplify right side
    2,297.59x = 3,962,227.77
  5. Step 5: Solve for x
    x = 3,962,227.77/2,297.59
  6. Step 6: Final answer
    x = 1,724.51

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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.