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Finding the Fourth Proportional to 2,745.92, 4,118.43 and 797.66

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Solution

The fourth proportional to 2,745.92, 4,118.43 and 797.66 is: 1,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.92 : 4,118.43 = 797.66 : x
  2. Step 2: Convert to fraction form
    2,745.92/4,118.43 = 797.66/x
  3. Step 3: Cross multiply
    2,745.92x = 4,118.43 × 797.66
  4. Step 4: Simplify right side
    2,745.92x = 3,285,106.87
  5. Step 5: Solve for x
    x = 3,285,106.87/2,745.92
  6. Step 6: Final answer
    x = 1,196.36

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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.