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Finding the Fourth Proportional to 1,936.90, 2,906.49 and 767.02

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Solution

The fourth proportional to 1,936.90, 2,906.49 and 767.02 is: 1,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.90 : 2,906.49 = 767.02 : x
  2. Step 2: Convert to fraction form
    1,936.90/2,906.49 = 767.02/x
  3. Step 3: Cross multiply
    1,936.90x = 2,906.49 × 767.02
  4. Step 4: Simplify right side
    1,936.90x = 2,229,317.59
  5. Step 5: Solve for x
    x = 2,229,317.59/1,936.90
  6. Step 6: Final answer
    x = 1,150.97

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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.