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Finding the Fourth Proportional to 2,650, 3,975 and 826

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Solution

The fourth proportional to 2,650, 3,975 and 826 is: 1,239

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650 : 3,975 = 826 : x
  2. Step 2: Convert to fraction form
    2,650/3,975 = 826/x
  3. Step 3: Cross multiply
    2,650x = 3,975 × 826
  4. Step 4: Simplify right side
    2,650x = 3,283,350
  5. Step 5: Solve for x
    x = 3,283,350/2,650
  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.