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Finding the Fourth Proportional to 2,781.57, 4,170.74 and 1,049.25

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Solution

The fourth proportional to 2,781.57, 4,170.74 and 1,049.25 is: 1,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.57 : 4,170.74 = 1,049.25 : x
  2. Step 2: Convert to fraction form
    2,781.57/4,170.74 = 1,049.25/x
  3. Step 3: Cross multiply
    2,781.57x = 4,170.74 × 1,049.25
  4. Step 4: Simplify right side
    2,781.57x = 4,376,143.70
  5. Step 5: Solve for x
    x = 4,376,143.70/2,781.57
  6. Step 6: Final answer
    x = 1,573.26

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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.