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Finding the Fourth Proportional to 4,531.69, 6,793.38 and 1,760.23

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Solution

The fourth proportional to 4,531.69, 6,793.38 and 1,760.23 is: 2,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.69 : 6,793.38 = 1,760.23 : x
  2. Step 2: Convert to fraction form
    4,531.69/6,793.38 = 1,760.23/x
  3. Step 3: Cross multiply
    4,531.69x = 6,793.38 × 1,760.23
  4. Step 4: Simplify right side
    4,531.69x = 11,957,911.28
  5. Step 5: Solve for x
    x = 11,957,911.28/4,531.69
  6. Step 6: Final answer
    x = 2,638.73

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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.