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Finding the Fourth Proportional to 2,805.91, 3,872.42 and 2,062.33

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Solution

The fourth proportional to 2,805.91, 3,872.42 and 2,062.33 is: 2,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.91 : 3,872.42 = 2,062.33 : x
  2. Step 2: Convert to fraction form
    2,805.91/3,872.42 = 2,062.33/x
  3. Step 3: Cross multiply
    2,805.91x = 3,872.42 × 2,062.33
  4. Step 4: Simplify right side
    2,805.91x = 7,986,207.94
  5. Step 5: Solve for x
    x = 7,986,207.94/2,805.91
  6. Step 6: Final answer
    x = 2,846.21

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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.