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Finding the Fourth Proportional to 2,759, 3,814.62 and 2,636.60

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Solution

The fourth proportional to 2,759, 3,814.62 and 2,636.60 is: 3,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759 : 3,814.62 = 2,636.60 : x
  2. Step 2: Convert to fraction form
    2,759/3,814.62 = 2,636.60/x
  3. Step 3: Cross multiply
    2,759x = 3,814.62 × 2,636.60
  4. Step 4: Simplify right side
    2,759x = 10,057,627.09
  5. Step 5: Solve for x
    x = 10,057,627.09/2,759
  6. Step 6: Final answer
    x = 3,645.39

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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.