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Finding the Fourth Proportional to 2,781.47, 4,170.13 and 1,685.57

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Solution

The fourth proportional to 2,781.47, 4,170.13 and 1,685.57 is: 2,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.47 : 4,170.13 = 1,685.57 : x
  2. Step 2: Convert to fraction form
    2,781.47/4,170.13 = 1,685.57/x
  3. Step 3: Cross multiply
    2,781.47x = 4,170.13 × 1,685.57
  4. Step 4: Simplify right side
    2,781.47x = 7,029,020.96
  5. Step 5: Solve for x
    x = 7,029,020.96/2,781.47
  6. Step 6: Final answer
    x = 2,527.09

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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.