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Finding the Fourth Proportional to 3,170.75, 4,755.39 and 1,196.60

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Solution

The fourth proportional to 3,170.75, 4,755.39 and 1,196.60 is: 1,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.75 : 4,755.39 = 1,196.60 : x
  2. Step 2: Convert to fraction form
    3,170.75/4,755.39 = 1,196.60/x
  3. Step 3: Cross multiply
    3,170.75x = 4,755.39 × 1,196.60
  4. Step 4: Simplify right side
    3,170.75x = 5,690,275.90
  5. Step 5: Solve for x
    x = 5,690,275.90/3,170.75
  6. Step 6: Final answer
    x = 1,794.62

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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.