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Finding the Fourth Proportional to 3,202.97, 4,803.15 and 1,447.91

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Solution

The fourth proportional to 3,202.97, 4,803.15 and 1,447.91 is: 2,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.97 : 4,803.15 = 1,447.91 : x
  2. Step 2: Convert to fraction form
    3,202.97/4,803.15 = 1,447.91/x
  3. Step 3: Cross multiply
    3,202.97x = 4,803.15 × 1,447.91
  4. Step 4: Simplify right side
    3,202.97x = 6,954,504.90
  5. Step 5: Solve for x
    x = 6,954,504.90/3,202.97
  6. Step 6: Final answer
    x = 2,171.27

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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.