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Finding the Fourth Proportional to 2,774, 4,161.14 and 826.22

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Solution

The fourth proportional to 2,774, 4,161.14 and 826.22 is: 1,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774 : 4,161.14 = 826.22 : x
  2. Step 2: Convert to fraction form
    2,774/4,161.14 = 826.22/x
  3. Step 3: Cross multiply
    2,774x = 4,161.14 × 826.22
  4. Step 4: Simplify right side
    2,774x = 3,438,017.09
  5. Step 5: Solve for x
    x = 3,438,017.09/2,774
  6. Step 6: Final answer
    x = 1,239.37

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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.