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Finding the Fourth Proportional to 2,266.62, 3,400.71 and 1,170.30

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Solution

The fourth proportional to 2,266.62, 3,400.71 and 1,170.30 is: 1,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.62 : 3,400.71 = 1,170.30 : x
  2. Step 2: Convert to fraction form
    2,266.62/3,400.71 = 1,170.30/x
  3. Step 3: Cross multiply
    2,266.62x = 3,400.71 × 1,170.30
  4. Step 4: Simplify right side
    2,266.62x = 3,979,850.91
  5. Step 5: Solve for x
    x = 3,979,850.91/2,266.62
  6. Step 6: Final answer
    x = 1,755.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.