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Finding the Fourth Proportional to 2,632.82, 3,942.90 and 2,083.22

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Solution

The fourth proportional to 2,632.82, 3,942.90 and 2,083.22 is: 3,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.82 : 3,942.90 = 2,083.22 : x
  2. Step 2: Convert to fraction form
    2,632.82/3,942.90 = 2,083.22/x
  3. Step 3: Cross multiply
    2,632.82x = 3,942.90 × 2,083.22
  4. Step 4: Simplify right side
    2,632.82x = 8,213,928.14
  5. Step 5: Solve for x
    x = 8,213,928.14/2,632.82
  6. Step 6: Final answer
    x = 3,119.82

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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.