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Finding the Fourth Proportional to 2,581.56, 3,872.94 and 850.12

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Solution

The fourth proportional to 2,581.56, 3,872.94 and 850.12 is: 1,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.56 : 3,872.94 = 850.12 : x
  2. Step 2: Convert to fraction form
    2,581.56/3,872.94 = 850.12/x
  3. Step 3: Cross multiply
    2,581.56x = 3,872.94 × 850.12
  4. Step 4: Simplify right side
    2,581.56x = 3,292,463.75
  5. Step 5: Solve for x
    x = 3,292,463.75/2,581.56
  6. Step 6: Final answer
    x = 1,275.38

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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.