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Finding the Fourth Proportional to 1,727.60, 2,591.26 and 850.37

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Solution

The fourth proportional to 1,727.60, 2,591.26 and 850.37 is: 1,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.60 : 2,591.26 = 850.37 : x
  2. Step 2: Convert to fraction form
    1,727.60/2,591.26 = 850.37/x
  3. Step 3: Cross multiply
    1,727.60x = 2,591.26 × 850.37
  4. Step 4: Simplify right side
    1,727.60x = 2,203,514.68
  5. Step 5: Solve for x
    x = 2,203,514.68/1,727.60
  6. Step 6: Final answer
    x = 1,275.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.