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Finding the Fourth Proportional to 2,728.54, 3,761.41 and 2,169.23

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Solution

The fourth proportional to 2,728.54, 3,761.41 and 2,169.23 is: 2,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.54 : 3,761.41 = 2,169.23 : x
  2. Step 2: Convert to fraction form
    2,728.54/3,761.41 = 2,169.23/x
  3. Step 3: Cross multiply
    2,728.54x = 3,761.41 × 2,169.23
  4. Step 4: Simplify right side
    2,728.54x = 8,159,363.41
  5. Step 5: Solve for x
    x = 8,159,363.41/2,728.54
  6. Step 6: Final answer
    x = 2,990.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.