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Finding the Fourth Proportional to 2,906.35, 4,010.78 and 1,711.38

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Solution

The fourth proportional to 2,906.35, 4,010.78 and 1,711.38 is: 2,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.35 : 4,010.78 = 1,711.38 : x
  2. Step 2: Convert to fraction form
    2,906.35/4,010.78 = 1,711.38/x
  3. Step 3: Cross multiply
    2,906.35x = 4,010.78 × 1,711.38
  4. Step 4: Simplify right side
    2,906.35x = 6,863,968.68
  5. Step 5: Solve for x
    x = 6,863,968.68/2,906.35
  6. Step 6: Final answer
    x = 2,361.71

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Why These Related Problems?

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