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Finding the Fourth Proportional to 2,728.41, 4,093.01 and 996.63

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Solution

The fourth proportional to 2,728.41, 4,093.01 and 996.63 is: 1,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.41 : 4,093.01 = 996.63 : x
  2. Step 2: Convert to fraction form
    2,728.41/4,093.01 = 996.63/x
  3. Step 3: Cross multiply
    2,728.41x = 4,093.01 × 996.63
  4. Step 4: Simplify right side
    2,728.41x = 4,079,216.56
  5. Step 5: Solve for x
    x = 4,079,216.56/2,728.41
  6. Step 6: Final answer
    x = 1,495.09

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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.