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Finding the Fourth Proportional to 3,274.90, 4,910.68 and 1,082.84

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Solution

The fourth proportional to 3,274.90, 4,910.68 and 1,082.84 is: 1,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.90 : 4,910.68 = 1,082.84 : x
  2. Step 2: Convert to fraction form
    3,274.90/4,910.68 = 1,082.84/x
  3. Step 3: Cross multiply
    3,274.90x = 4,910.68 × 1,082.84
  4. Step 4: Simplify right side
    3,274.90x = 5,317,480.73
  5. Step 5: Solve for x
    x = 5,317,480.73/3,274.90
  6. Step 6: Final answer
    x = 1,623.71

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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.