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Finding the Fourth Proportional to 2,072.43, 3,108.75 and 685.89

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Solution

The fourth proportional to 2,072.43, 3,108.75 and 685.89 is: 1,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.43 : 3,108.75 = 685.89 : x
  2. Step 2: Convert to fraction form
    2,072.43/3,108.75 = 685.89/x
  3. Step 3: Cross multiply
    2,072.43x = 3,108.75 × 685.89
  4. Step 4: Simplify right side
    2,072.43x = 2,132,260.54
  5. Step 5: Solve for x
    x = 2,132,260.54/2,072.43
  6. Step 6: Final answer
    x = 1,028.87

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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.