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Finding the Fourth Proportional to 3,197.27, 4,796.55 and 1,348.38

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Solution

The fourth proportional to 3,197.27, 4,796.55 and 1,348.38 is: 2,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.27 : 4,796.55 = 1,348.38 : x
  2. Step 2: Convert to fraction form
    3,197.27/4,796.55 = 1,348.38/x
  3. Step 3: Cross multiply
    3,197.27x = 4,796.55 × 1,348.38
  4. Step 4: Simplify right side
    3,197.27x = 6,467,572.09
  5. Step 5: Solve for x
    x = 6,467,572.09/3,197.27
  6. Step 6: Final answer
    x = 2,022.84

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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.