Home / 2,789.44-3,849.12-2,005.12

Finding the Fourth Proportional to 2,789.44, 3,849.12 and 2,005.12

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Solution

The fourth proportional to 2,789.44, 3,849.12 and 2,005.12 is: 2,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.44 : 3,849.12 = 2,005.12 : x
  2. Step 2: Convert to fraction form
    2,789.44/3,849.12 = 2,005.12/x
  3. Step 3: Cross multiply
    2,789.44x = 3,849.12 × 2,005.12
  4. Step 4: Simplify right side
    2,789.44x = 7,717,947.49
  5. Step 5: Solve for x
    x = 7,717,947.49/2,789.44
  6. Step 6: Final answer
    x = 2,766.84

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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.