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Finding the Fourth Proportional to 2,260.82, 3,395.69 and 2,163.62

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Solution

The fourth proportional to 2,260.82, 3,395.69 and 2,163.62 is: 3,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.82 : 3,395.69 = 2,163.62 : x
  2. Step 2: Convert to fraction form
    2,260.82/3,395.69 = 2,163.62/x
  3. Step 3: Cross multiply
    2,260.82x = 3,395.69 × 2,163.62
  4. Step 4: Simplify right side
    2,260.82x = 7,346,971.98
  5. Step 5: Solve for x
    x = 7,346,971.98/2,260.82
  6. Step 6: Final answer
    x = 3,249.69

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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.