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Finding the Fourth Proportional to 2,266.39, 3,399.86 and 805.69

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Solution

The fourth proportional to 2,266.39, 3,399.86 and 805.69 is: 1,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.39 : 3,399.86 = 805.69 : x
  2. Step 2: Convert to fraction form
    2,266.39/3,399.86 = 805.69/x
  3. Step 3: Cross multiply
    2,266.39x = 3,399.86 × 805.69
  4. Step 4: Simplify right side
    2,266.39x = 2,739,229.17
  5. Step 5: Solve for x
    x = 2,739,229.17/2,266.39
  6. Step 6: Final answer
    x = 1,208.63

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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.