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Finding the Fourth Proportional to 2,194, 3,291 and 826

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Solution

The fourth proportional to 2,194, 3,291 and 826 is: 1,239

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194 : 3,291 = 826 : x
  2. Step 2: Convert to fraction form
    2,194/3,291 = 826/x
  3. Step 3: Cross multiply
    2,194x = 3,291 × 826
  4. Step 4: Simplify right side
    2,194x = 2,718,366
  5. Step 5: Solve for x
    x = 2,718,366/2,194
  6. Step 6: Final answer
    x = 1,239

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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.