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Finding the Fourth Proportional to 2,781.90, 4,170.42 and 2,627.18

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Solution

The fourth proportional to 2,781.90, 4,170.42 and 2,627.18 is: 3,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.90 : 4,170.42 = 2,627.18 : x
  2. Step 2: Convert to fraction form
    2,781.90/4,170.42 = 2,627.18/x
  3. Step 3: Cross multiply
    2,781.90x = 4,170.42 × 2,627.18
  4. Step 4: Simplify right side
    2,781.90x = 10,956,444.02
  5. Step 5: Solve for x
    x = 10,956,444.02/2,781.90
  6. Step 6: Final answer
    x = 3,938.48

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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.