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Finding the Fourth Proportional to 2,728.98, 4,092.03 and 996.66

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Solution

The fourth proportional to 2,728.98, 4,092.03 and 996.66 is: 1,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.98 : 4,092.03 = 996.66 : x
  2. Step 2: Convert to fraction form
    2,728.98/4,092.03 = 996.66/x
  3. Step 3: Cross multiply
    2,728.98x = 4,092.03 × 996.66
  4. Step 4: Simplify right side
    2,728.98x = 4,078,362.62
  5. Step 5: Solve for x
    x = 4,078,362.62/2,728.98
  6. Step 6: Final answer
    x = 1,494.46

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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.