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Finding the Fourth Proportional to 3,274.09, 4,909.87 and 1,082.23

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Solution

The fourth proportional to 3,274.09, 4,909.87 and 1,082.23 is: 1,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.09 : 4,909.87 = 1,082.23 : x
  2. Step 2: Convert to fraction form
    3,274.09/4,909.87 = 1,082.23/x
  3. Step 3: Cross multiply
    3,274.09x = 4,909.87 × 1,082.23
  4. Step 4: Simplify right side
    3,274.09x = 5,313,608.61
  5. Step 5: Solve for x
    x = 5,313,608.61/3,274.09
  6. Step 6: Final answer
    x = 1,622.93

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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.