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Finding the Fourth Proportional to 3,197.90, 4,414.48 and 2,150.57

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Solution

The fourth proportional to 3,197.90, 4,414.48 and 2,150.57 is: 2,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.90 : 4,414.48 = 2,150.57 : x
  2. Step 2: Convert to fraction form
    3,197.90/4,414.48 = 2,150.57/x
  3. Step 3: Cross multiply
    3,197.90x = 4,414.48 × 2,150.57
  4. Step 4: Simplify right side
    3,197.90x = 9,493,653.91
  5. Step 5: Solve for x
    x = 9,493,653.91/3,197.90
  6. Step 6: Final answer
    x = 2,968.71

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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.