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Finding the Fourth Proportional to 3,161.89, 4,743.39 and 1,081.40

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Solution

The fourth proportional to 3,161.89, 4,743.39 and 1,081.40 is: 1,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.89 : 4,743.39 = 1,081.40 : x
  2. Step 2: Convert to fraction form
    3,161.89/4,743.39 = 1,081.40/x
  3. Step 3: Cross multiply
    3,161.89x = 4,743.39 × 1,081.40
  4. Step 4: Simplify right side
    3,161.89x = 5,129,496.54
  5. Step 5: Solve for x
    x = 5,129,496.54/3,161.89
  6. Step 6: Final answer
    x = 1,622.29

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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.