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Finding the Fourth Proportional to 2,639.84, 3,960.17 and 996.35

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Solution

The fourth proportional to 2,639.84, 3,960.17 and 996.35 is: 1,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.84 : 3,960.17 = 996.35 : x
  2. Step 2: Convert to fraction form
    2,639.84/3,960.17 = 996.35/x
  3. Step 3: Cross multiply
    2,639.84x = 3,960.17 × 996.35
  4. Step 4: Simplify right side
    2,639.84x = 3,945,710.40
  5. Step 5: Solve for x
    x = 3,945,710.40/2,639.84
  6. Step 6: Final answer
    x = 1,494.68

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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.