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Finding the Fourth Proportional to 1,727.83, 2,591.87 and 850.80

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Solution

The fourth proportional to 1,727.83, 2,591.87 and 850.80 is: 1,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.83 : 2,591.87 = 850.80 : x
  2. Step 2: Convert to fraction form
    1,727.83/2,591.87 = 850.80/x
  3. Step 3: Cross multiply
    1,727.83x = 2,591.87 × 850.80
  4. Step 4: Simplify right side
    1,727.83x = 2,205,158.64
  5. Step 5: Solve for x
    x = 2,205,158.64/1,727.83
  6. Step 6: Final answer
    x = 1,276.26

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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.