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Finding the Fourth Proportional to 2,722.83, 4,082.49 and 1,163.85

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Solution

The fourth proportional to 2,722.83, 4,082.49 and 1,163.85 is: 1,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.83 : 4,082.49 = 1,163.85 : x
  2. Step 2: Convert to fraction form
    2,722.83/4,082.49 = 1,163.85/x
  3. Step 3: Cross multiply
    2,722.83x = 4,082.49 × 1,163.85
  4. Step 4: Simplify right side
    2,722.83x = 4,751,405.99
  5. Step 5: Solve for x
    x = 4,751,405.99/2,722.83
  6. Step 6: Final answer
    x = 1,745.02

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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.