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Finding the Fourth Proportional to 3,161.54, 4,362.45 and 1,982.18

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Solution

The fourth proportional to 3,161.54, 4,362.45 and 1,982.18 is: 2,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.54 : 4,362.45 = 1,982.18 : x
  2. Step 2: Convert to fraction form
    3,161.54/4,362.45 = 1,982.18/x
  3. Step 3: Cross multiply
    3,161.54x = 4,362.45 × 1,982.18
  4. Step 4: Simplify right side
    3,161.54x = 8,647,161.14
  5. Step 5: Solve for x
    x = 8,647,161.14/3,161.54
  6. Step 6: Final answer
    x = 2,735.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.