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Finding the Fourth Proportional to 2,722.28, 4,083.96 and 991.04

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Solution

The fourth proportional to 2,722.28, 4,083.96 and 991.04 is: 1,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.28 : 4,083.96 = 991.04 : x
  2. Step 2: Convert to fraction form
    2,722.28/4,083.96 = 991.04/x
  3. Step 3: Cross multiply
    2,722.28x = 4,083.96 × 991.04
  4. Step 4: Simplify right side
    2,722.28x = 4,047,367.72
  5. Step 5: Solve for x
    x = 4,047,367.72/2,722.28
  6. Step 6: Final answer
    x = 1,486.76

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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.