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Finding the Fourth Proportional to 2,161.92, 3,240.96 and 1,297.92

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Solution

The fourth proportional to 2,161.92, 3,240.96 and 1,297.92 is: 1,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.92 : 3,240.96 = 1,297.92 : x
  2. Step 2: Convert to fraction form
    2,161.92/3,240.96 = 1,297.92/x
  3. Step 3: Cross multiply
    2,161.92x = 3,240.96 × 1,297.92
  4. Step 4: Simplify right side
    2,161.92x = 4,206,506.80
  5. Step 5: Solve for x
    x = 4,206,506.80/2,161.92
  6. Step 6: Final answer
    x = 1,945.73

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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.