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Finding the Fourth Proportional to 2,722.62, 4,082.97 and 1,182.78

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Solution

The fourth proportional to 2,722.62, 4,082.97 and 1,182.78 is: 1,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.62 : 4,082.97 = 1,182.78 : x
  2. Step 2: Convert to fraction form
    2,722.62/4,082.97 = 1,182.78/x
  3. Step 3: Cross multiply
    2,722.62x = 4,082.97 × 1,182.78
  4. Step 4: Simplify right side
    2,722.62x = 4,829,255.26
  5. Step 5: Solve for x
    x = 4,829,255.26/2,722.62
  6. Step 6: Final answer
    x = 1,773.75

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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.