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Finding the Fourth Proportional to 2,722, 4,083.54 and 1,162

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Solution

The fourth proportional to 2,722, 4,083.54 and 1,162 is: 1,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722 : 4,083.54 = 1,162 : x
  2. Step 2: Convert to fraction form
    2,722/4,083.54 = 1,162/x
  3. Step 3: Cross multiply
    2,722x = 4,083.54 × 1,162
  4. Step 4: Simplify right side
    2,722x = 4,745,073.48
  5. Step 5: Solve for x
    x = 4,745,073.48/2,722
  6. Step 6: Final answer
    x = 1,743.23

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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.