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Finding the Fourth Proportional to 2,605.82, 3,908.77 and 850.84

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Solution

The fourth proportional to 2,605.82, 3,908.77 and 850.84 is: 1,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.82 : 3,908.77 = 850.84 : x
  2. Step 2: Convert to fraction form
    2,605.82/3,908.77 = 850.84/x
  3. Step 3: Cross multiply
    2,605.82x = 3,908.77 × 850.84
  4. Step 4: Simplify right side
    2,605.82x = 3,325,725.97
  5. Step 5: Solve for x
    x = 3,325,725.97/2,605.82
  6. Step 6: Final answer
    x = 1,276.27

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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.