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Finding the Fourth Proportional to 1,906.26, 2,859.51 and 736.80

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Solution

The fourth proportional to 1,906.26, 2,859.51 and 736.80 is: 1,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.26 : 2,859.51 = 736.80 : x
  2. Step 2: Convert to fraction form
    1,906.26/2,859.51 = 736.80/x
  3. Step 3: Cross multiply
    1,906.26x = 2,859.51 × 736.80
  4. Step 4: Simplify right side
    1,906.26x = 2,106,886.97
  5. Step 5: Solve for x
    x = 2,106,886.97/1,906.26
  6. Step 6: Final answer
    x = 1,105.25

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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.