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Finding the Fourth Proportional to 3,197.36, 4,791 and 1,736.12

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Solution

The fourth proportional to 3,197.36, 4,791 and 1,736.12 is: 2,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.36 : 4,791 = 1,736.12 : x
  2. Step 2: Convert to fraction form
    3,197.36/4,791 = 1,736.12/x
  3. Step 3: Cross multiply
    3,197.36x = 4,791 × 1,736.12
  4. Step 4: Simplify right side
    3,197.36x = 8,317,750.92
  5. Step 5: Solve for x
    x = 8,317,750.92/3,197.36
  6. Step 6: Final answer
    x = 2,601.44

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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.