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Finding the Fourth Proportional to 3,169.38, 4,745.94 and 2,197.38

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Solution

The fourth proportional to 3,169.38, 4,745.94 and 2,197.38 is: 3,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.38 : 4,745.94 = 2,197.38 : x
  2. Step 2: Convert to fraction form
    3,169.38/4,745.94 = 2,197.38/x
  3. Step 3: Cross multiply
    3,169.38x = 4,745.94 × 2,197.38
  4. Step 4: Simplify right side
    3,169.38x = 10,428,633.64
  5. Step 5: Solve for x
    x = 10,428,633.64/3,169.38
  6. Step 6: Final answer
    x = 3,290.43

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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.