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Finding the Fourth Proportional to 2,781.75, 3,837.18 and 1,734.15

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Solution

The fourth proportional to 2,781.75, 3,837.18 and 1,734.15 is: 2,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.75 : 3,837.18 = 1,734.15 : x
  2. Step 2: Convert to fraction form
    2,781.75/3,837.18 = 1,734.15/x
  3. Step 3: Cross multiply
    2,781.75x = 3,837.18 × 1,734.15
  4. Step 4: Simplify right side
    2,781.75x = 6,654,245.70
  5. Step 5: Solve for x
    x = 6,654,245.70/2,781.75
  6. Step 6: Final answer
    x = 2,392.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.