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Finding the Fourth Proportional to 1,906.43, 2,859.41 and 519.71

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Solution

The fourth proportional to 1,906.43, 2,859.41 and 519.71 is: 779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.43 : 2,859.41 = 519.71 : x
  2. Step 2: Convert to fraction form
    1,906.43/2,859.41 = 519.71/x
  3. Step 3: Cross multiply
    1,906.43x = 2,859.41 × 519.71
  4. Step 4: Simplify right side
    1,906.43x = 1,486,050.97
  5. Step 5: Solve for x
    x = 1,486,050.97/1,906.43
  6. Step 6: Final answer
    x = 779.50

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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.