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Finding the Fourth Proportional to 1,920.80, 2,881.92 and 1,305.20

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Solution

The fourth proportional to 1,920.80, 2,881.92 and 1,305.20 is: 1,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.80 : 2,881.92 = 1,305.20 : x
  2. Step 2: Convert to fraction form
    1,920.80/2,881.92 = 1,305.20/x
  3. Step 3: Cross multiply
    1,920.80x = 2,881.92 × 1,305.20
  4. Step 4: Simplify right side
    1,920.80x = 3,761,481.98
  5. Step 5: Solve for x
    x = 3,761,481.98/1,920.80
  6. Step 6: Final answer
    x = 1,958.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.