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Finding the Fourth Proportional to 2,722.82, 4,084.23 and 1,163.30

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Solution

The fourth proportional to 2,722.82, 4,084.23 and 1,163.30 is: 1,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.82 : 4,084.23 = 1,163.30 : x
  2. Step 2: Convert to fraction form
    2,722.82/4,084.23 = 1,163.30/x
  3. Step 3: Cross multiply
    2,722.82x = 4,084.23 × 1,163.30
  4. Step 4: Simplify right side
    2,722.82x = 4,751,184.76
  5. Step 5: Solve for x
    x = 4,751,184.76/2,722.82
  6. Step 6: Final answer
    x = 1,744.95

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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.