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Finding the Fourth Proportional to 2,575.24, 3,863.42 and 844.04

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Solution

The fourth proportional to 2,575.24, 3,863.42 and 844.04 is: 1,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.24 : 3,863.42 = 844.04 : x
  2. Step 2: Convert to fraction form
    2,575.24/3,863.42 = 844.04/x
  3. Step 3: Cross multiply
    2,575.24x = 3,863.42 × 844.04
  4. Step 4: Simplify right side
    2,575.24x = 3,260,881.02
  5. Step 5: Solve for x
    x = 3,260,881.02/2,575.24
  6. Step 6: Final answer
    x = 1,266.24

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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.