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Finding the Fourth Proportional to 2,576.75, 3,863.38 and 821.23

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Solution

The fourth proportional to 2,576.75, 3,863.38 and 821.23 is: 1,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.75 : 3,863.38 = 821.23 : x
  2. Step 2: Convert to fraction form
    2,576.75/3,863.38 = 821.23/x
  3. Step 3: Cross multiply
    2,576.75x = 3,863.38 × 821.23
  4. Step 4: Simplify right side
    2,576.75x = 3,172,723.56
  5. Step 5: Solve for x
    x = 3,172,723.56/2,576.75
  6. Step 6: Final answer
    x = 1,231.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.