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Finding the Fourth Proportional to 2,062.26, 3,093.17 and 745.97

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Solution

The fourth proportional to 2,062.26, 3,093.17 and 745.97 is: 1,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.26 : 3,093.17 = 745.97 : x
  2. Step 2: Convert to fraction form
    2,062.26/3,093.17 = 745.97/x
  3. Step 3: Cross multiply
    2,062.26x = 3,093.17 × 745.97
  4. Step 4: Simplify right side
    2,062.26x = 2,307,392.83
  5. Step 5: Solve for x
    x = 2,307,392.83/2,062.26
  6. Step 6: Final answer
    x = 1,118.87

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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.