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Finding the Fourth Proportional to 2,676.07, 4,013.80 and 728.43

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Solution

The fourth proportional to 2,676.07, 4,013.80 and 728.43 is: 1,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.07 : 4,013.80 = 728.43 : x
  2. Step 2: Convert to fraction form
    2,676.07/4,013.80 = 728.43/x
  3. Step 3: Cross multiply
    2,676.07x = 4,013.80 × 728.43
  4. Step 4: Simplify right side
    2,676.07x = 2,923,772.33
  5. Step 5: Solve for x
    x = 2,923,772.33/2,676.07
  6. Step 6: Final answer
    x = 1,092.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.