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Finding the Fourth Proportional to 2,722.09, 4,083.38 and 966.92

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Solution

The fourth proportional to 2,722.09, 4,083.38 and 966.92 is: 1,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.09 : 4,083.38 = 966.92 : x
  2. Step 2: Convert to fraction form
    2,722.09/4,083.38 = 966.92/x
  3. Step 3: Cross multiply
    2,722.09x = 4,083.38 × 966.92
  4. Step 4: Simplify right side
    2,722.09x = 3,948,296.96
  5. Step 5: Solve for x
    x = 3,948,296.96/2,722.09
  6. Step 6: Final answer
    x = 1,450.47

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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.