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Finding the Fourth Proportional to 2,575.31, 3,863.23 and 844.07

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Solution

The fourth proportional to 2,575.31, 3,863.23 and 844.07 is: 1,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.31 : 3,863.23 = 844.07 : x
  2. Step 2: Convert to fraction form
    2,575.31/3,863.23 = 844.07/x
  3. Step 3: Cross multiply
    2,575.31x = 3,863.23 × 844.07
  4. Step 4: Simplify right side
    2,575.31x = 3,260,815.12
  5. Step 5: Solve for x
    x = 3,260,815.12/2,575.31
  6. Step 6: Final answer
    x = 1,266.19

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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.