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Finding the Fourth Proportional to 1,908.98, 2,634.42 and 1,162.97

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Solution

The fourth proportional to 1,908.98, 2,634.42 and 1,162.97 is: 1,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.98 : 2,634.42 = 1,162.97 : x
  2. Step 2: Convert to fraction form
    1,908.98/2,634.42 = 1,162.97/x
  3. Step 3: Cross multiply
    1,908.98x = 2,634.42 × 1,162.97
  4. Step 4: Simplify right side
    1,908.98x = 3,063,732.44
  5. Step 5: Solve for x
    x = 3,063,732.44/1,908.98
  6. Step 6: Final answer
    x = 1,604.91

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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.