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Finding the Fourth Proportional to 3,171.06, 4,757.31 and 1,197.54

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Solution

The fourth proportional to 3,171.06, 4,757.31 and 1,197.54 is: 1,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.06 : 4,757.31 = 1,197.54 : x
  2. Step 2: Convert to fraction form
    3,171.06/4,757.31 = 1,197.54/x
  3. Step 3: Cross multiply
    3,171.06x = 4,757.31 × 1,197.54
  4. Step 4: Simplify right side
    3,171.06x = 5,697,069.02
  5. Step 5: Solve for x
    x = 5,697,069.02/3,171.06
  6. Step 6: Final answer
    x = 1,796.58

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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.