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Finding the Fourth Proportional to 2,529, 3,793.10 and 1,796.36

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Solution

The fourth proportional to 2,529, 3,793.10 and 1,796.36 is: 2,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529 : 3,793.10 = 1,796.36 : x
  2. Step 2: Convert to fraction form
    2,529/3,793.10 = 1,796.36/x
  3. Step 3: Cross multiply
    2,529x = 3,793.10 × 1,796.36
  4. Step 4: Simplify right side
    2,529x = 6,813,745.17
  5. Step 5: Solve for x
    x = 6,813,745.17/2,529
  6. Step 6: Final answer
    x = 2,694.24

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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.