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Finding the Fourth Proportional to 2,891, 4,336.62 and 839

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Solution

The fourth proportional to 2,891, 4,336.62 and 839 is: 1,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891 : 4,336.62 = 839 : x
  2. Step 2: Convert to fraction form
    2,891/4,336.62 = 839/x
  3. Step 3: Cross multiply
    2,891x = 4,336.62 × 839
  4. Step 4: Simplify right side
    2,891x = 3,638,424.18
  5. Step 5: Solve for x
    x = 3,638,424.18/2,891
  6. Step 6: Final answer
    x = 1,258.53

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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.