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Finding the Fourth Proportional to 2,486.28, 3,727.92 and 842.79

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Solution

The fourth proportional to 2,486.28, 3,727.92 and 842.79 is: 1,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.28 : 3,727.92 = 842.79 : x
  2. Step 2: Convert to fraction form
    2,486.28/3,727.92 = 842.79/x
  3. Step 3: Cross multiply
    2,486.28x = 3,727.92 × 842.79
  4. Step 4: Simplify right side
    2,486.28x = 3,141,853.70
  5. Step 5: Solve for x
    x = 3,141,853.70/2,486.28
  6. Step 6: Final answer
    x = 1,263.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.