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Finding the Fourth Proportional to 2,206, 3,310.52 and 838

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Solution

The fourth proportional to 2,206, 3,310.52 and 838 is: 1,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206 : 3,310.52 = 838 : x
  2. Step 2: Convert to fraction form
    2,206/3,310.52 = 838/x
  3. Step 3: Cross multiply
    2,206x = 3,310.52 × 838
  4. Step 4: Simplify right side
    2,206x = 2,774,215.76
  5. Step 5: Solve for x
    x = 2,774,215.76/2,206
  6. Step 6: Final answer
    x = 1,257.58

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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.