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Finding the Fourth Proportional to 2,581.88, 3,871.22 and 850.04

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Solution

The fourth proportional to 2,581.88, 3,871.22 and 850.04 is: 1,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.88 : 3,871.22 = 850.04 : x
  2. Step 2: Convert to fraction form
    2,581.88/3,871.22 = 850.04/x
  3. Step 3: Cross multiply
    2,581.88x = 3,871.22 × 850.04
  4. Step 4: Simplify right side
    2,581.88x = 3,290,691.85
  5. Step 5: Solve for x
    x = 3,290,691.85/2,581.88
  6. Step 6: Final answer
    x = 1,274.53

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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.