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Finding the Fourth Proportional to 3,202.62, 4,792.77 and 2,216.46

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Solution

The fourth proportional to 3,202.62, 4,792.77 and 2,216.46 is: 3,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.62 : 4,792.77 = 2,216.46 : x
  2. Step 2: Convert to fraction form
    3,202.62/4,792.77 = 2,216.46/x
  3. Step 3: Cross multiply
    3,202.62x = 4,792.77 × 2,216.46
  4. Step 4: Simplify right side
    3,202.62x = 10,622,982.99
  5. Step 5: Solve for x
    x = 10,622,982.99/3,202.62
  6. Step 6: Final answer
    x = 3,316.97

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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.