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Finding the Fourth Proportional to 2,728.44, 4,092.30 and 780.82

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Solution

The fourth proportional to 2,728.44, 4,092.30 and 780.82 is: 1,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.44 : 4,092.30 = 780.82 : x
  2. Step 2: Convert to fraction form
    2,728.44/4,092.30 = 780.82/x
  3. Step 3: Cross multiply
    2,728.44x = 4,092.30 × 780.82
  4. Step 4: Simplify right side
    2,728.44x = 3,195,349.69
  5. Step 5: Solve for x
    x = 3,195,349.69/2,728.44
  6. Step 6: Final answer
    x = 1,171.13

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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.