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Finding the Fourth Proportional to 2,814.96, 3,882.43 and 2,626.33

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Solution

The fourth proportional to 2,814.96, 3,882.43 and 2,626.33 is: 3,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.96 : 3,882.43 = 2,626.33 : x
  2. Step 2: Convert to fraction form
    2,814.96/3,882.43 = 2,626.33/x
  3. Step 3: Cross multiply
    2,814.96x = 3,882.43 × 2,626.33
  4. Step 4: Simplify right side
    2,814.96x = 10,196,542.38
  5. Step 5: Solve for x
    x = 10,196,542.38/2,814.96
  6. Step 6: Final answer
    x = 3,622.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.