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Finding the Fourth Proportional to 2,722.65, 4,082.91 and 1,163.40

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Solution

The fourth proportional to 2,722.65, 4,082.91 and 1,163.40 is: 1,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.65 : 4,082.91 = 1,163.40 : x
  2. Step 2: Convert to fraction form
    2,722.65/4,082.91 = 1,163.40/x
  3. Step 3: Cross multiply
    2,722.65x = 4,082.91 × 1,163.40
  4. Step 4: Simplify right side
    2,722.65x = 4,750,057.49
  5. Step 5: Solve for x
    x = 4,750,057.49/2,722.65
  6. Step 6: Final answer
    x = 1,744.64

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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.