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Finding the Fourth Proportional to 2,906.39, 4,010.91 and 1,711.47

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Solution

The fourth proportional to 2,906.39, 4,010.91 and 1,711.47 is: 2,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.39 : 4,010.91 = 1,711.47 : x
  2. Step 2: Convert to fraction form
    2,906.39/4,010.91 = 1,711.47/x
  3. Step 3: Cross multiply
    2,906.39x = 4,010.91 × 1,711.47
  4. Step 4: Simplify right side
    2,906.39x = 6,864,552.14
  5. Step 5: Solve for x
    x = 6,864,552.14/2,906.39
  6. Step 6: Final answer
    x = 2,361.88

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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.