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Finding the Fourth Proportional to 2,581.64, 3,872.80 and 849.68

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Solution

The fourth proportional to 2,581.64, 3,872.80 and 849.68 is: 1,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.64 : 3,872.80 = 849.68 : x
  2. Step 2: Convert to fraction form
    2,581.64/3,872.80 = 849.68/x
  3. Step 3: Cross multiply
    2,581.64x = 3,872.80 × 849.68
  4. Step 4: Simplify right side
    2,581.64x = 3,290,640.70
  5. Step 5: Solve for x
    x = 3,290,640.70/2,581.64
  6. Step 6: Final answer
    x = 1,274.63

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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.