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Finding the Fourth Proportional to 2,727.90, 4,092.46 and 996.50

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Solution

The fourth proportional to 2,727.90, 4,092.46 and 996.50 is: 1,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.90 : 4,092.46 = 996.50 : x
  2. Step 2: Convert to fraction form
    2,727.90/4,092.46 = 996.50/x
  3. Step 3: Cross multiply
    2,727.90x = 4,092.46 × 996.50
  4. Step 4: Simplify right side
    2,727.90x = 4,078,136.39
  5. Step 5: Solve for x
    x = 4,078,136.39/2,727.90
  6. Step 6: Final answer
    x = 1,494.97

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Why These Related Problems?

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