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Finding the Fourth Proportional to 2,266.97, 3,402.27 and 1,171.65

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Solution

The fourth proportional to 2,266.97, 3,402.27 and 1,171.65 is: 1,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.97 : 3,402.27 = 1,171.65 : x
  2. Step 2: Convert to fraction form
    2,266.97/3,402.27 = 1,171.65/x
  3. Step 3: Cross multiply
    2,266.97x = 3,402.27 × 1,171.65
  4. Step 4: Simplify right side
    2,266.97x = 3,986,269.65
  5. Step 5: Solve for x
    x = 3,986,269.65/2,266.97
  6. Step 6: Final answer
    x = 1,758.42

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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.