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Finding the Fourth Proportional to 2,019.26, 2,786.81 and 1,179.90

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Solution

The fourth proportional to 2,019.26, 2,786.81 and 1,179.90 is: 1,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.26 : 2,786.81 = 1,179.90 : x
  2. Step 2: Convert to fraction form
    2,019.26/2,786.81 = 1,179.90/x
  3. Step 3: Cross multiply
    2,019.26x = 2,786.81 × 1,179.90
  4. Step 4: Simplify right side
    2,019.26x = 3,288,151.22
  5. Step 5: Solve for x
    x = 3,288,151.22/2,019.26
  6. Step 6: Final answer
    x = 1,628.39

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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.