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Finding the Fourth Proportional to 2,728, 4,093.64 and 996.80

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Solution

The fourth proportional to 2,728, 4,093.64 and 996.80 is: 1,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728 : 4,093.64 = 996.80 : x
  2. Step 2: Convert to fraction form
    2,728/4,093.64 = 996.80/x
  3. Step 3: Cross multiply
    2,728x = 4,093.64 × 996.80
  4. Step 4: Simplify right side
    2,728x = 4,080,540.35
  5. Step 5: Solve for x
    x = 4,080,540.35/2,728
  6. Step 6: Final answer
    x = 1,495.80

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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.