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Finding the Fourth Proportional to 2,854, 3,936.44 and 1,908.13

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Solution

The fourth proportional to 2,854, 3,936.44 and 1,908.13 is: 2,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854 : 3,936.44 = 1,908.13 : x
  2. Step 2: Convert to fraction form
    2,854/3,936.44 = 1,908.13/x
  3. Step 3: Cross multiply
    2,854x = 3,936.44 × 1,908.13
  4. Step 4: Simplify right side
    2,854x = 7,511,239.26
  5. Step 5: Solve for x
    x = 7,511,239.26/2,854
  6. Step 6: Final answer
    x = 2,631.83

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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.