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Finding the Fourth Proportional to 2,066.92, 3,100.39 and 768.38

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Solution

The fourth proportional to 2,066.92, 3,100.39 and 768.38 is: 1,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.92 : 3,100.39 = 768.38 : x
  2. Step 2: Convert to fraction form
    2,066.92/3,100.39 = 768.38/x
  3. Step 3: Cross multiply
    2,066.92x = 3,100.39 × 768.38
  4. Step 4: Simplify right side
    2,066.92x = 2,382,260.25
  5. Step 5: Solve for x
    x = 2,382,260.25/2,066.92
  6. Step 6: Final answer
    x = 1,152.57

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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.