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Finding the Fourth Proportional to 3,197.14, 4,796.88 and 1,348.72

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Solution

The fourth proportional to 3,197.14, 4,796.88 and 1,348.72 is: 2,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.14 : 4,796.88 = 1,348.72 : x
  2. Step 2: Convert to fraction form
    3,197.14/4,796.88 = 1,348.72/x
  3. Step 3: Cross multiply
    3,197.14x = 4,796.88 × 1,348.72
  4. Step 4: Simplify right side
    3,197.14x = 6,469,647.99
  5. Step 5: Solve for x
    x = 6,469,647.99/3,197.14
  6. Step 6: Final answer
    x = 2,023.57

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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.