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Finding the Fourth Proportional to 2,722, 4,081.92 and 1,334.32

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Solution

The fourth proportional to 2,722, 4,081.92 and 1,334.32 is: 2,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722 : 4,081.92 = 1,334.32 : x
  2. Step 2: Convert to fraction form
    2,722/4,081.92 = 1,334.32/x
  3. Step 3: Cross multiply
    2,722x = 4,081.92 × 1,334.32
  4. Step 4: Simplify right side
    2,722x = 5,446,587.49
  5. Step 5: Solve for x
    x = 5,446,587.49/2,722
  6. Step 6: Final answer
    x = 2,000.95

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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.