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Finding the Fourth Proportional to 2,793, 4,189.84 and 2,108.28

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Solution

The fourth proportional to 2,793, 4,189.84 and 2,108.28 is: 3,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793 : 4,189.84 = 2,108.28 : x
  2. Step 2: Convert to fraction form
    2,793/4,189.84 = 2,108.28/x
  3. Step 3: Cross multiply
    2,793x = 4,189.84 × 2,108.28
  4. Step 4: Simplify right side
    2,793x = 8,833,355.88
  5. Step 5: Solve for x
    x = 8,833,355.88/2,793
  6. Step 6: Final answer
    x = 3,162.68

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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.