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Finding the Fourth Proportional to 2,805.74, 4,188.82 and 2,144.13

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Solution

The fourth proportional to 2,805.74, 4,188.82 and 2,144.13 is: 3,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.74 : 4,188.82 = 2,144.13 : x
  2. Step 2: Convert to fraction form
    2,805.74/4,188.82 = 2,144.13/x
  3. Step 3: Cross multiply
    2,805.74x = 4,188.82 × 2,144.13
  4. Step 4: Simplify right side
    2,805.74x = 8,981,353.68
  5. Step 5: Solve for x
    x = 8,981,353.68/2,805.74
  6. Step 6: Final answer
    x = 3,201.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.