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Finding the Fourth Proportional to 2,639.97, 3,959.96 and 996.08

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Solution

The fourth proportional to 2,639.97, 3,959.96 and 996.08 is: 1,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.97 : 3,959.96 = 996.08 : x
  2. Step 2: Convert to fraction form
    2,639.97/3,959.96 = 996.08/x
  3. Step 3: Cross multiply
    2,639.97x = 3,959.96 × 996.08
  4. Step 4: Simplify right side
    2,639.97x = 3,944,412.18
  5. Step 5: Solve for x
    x = 3,944,412.18/2,639.97
  6. Step 6: Final answer
    x = 1,494.11

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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.