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Finding the Fourth Proportional to 1,727.23, 2,591.25 and 803.43

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Solution

The fourth proportional to 1,727.23, 2,591.25 and 803.43 is: 1,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.23 : 2,591.25 = 803.43 : x
  2. Step 2: Convert to fraction form
    1,727.23/2,591.25 = 803.43/x
  3. Step 3: Cross multiply
    1,727.23x = 2,591.25 × 803.43
  4. Step 4: Simplify right side
    1,727.23x = 2,081,887.99
  5. Step 5: Solve for x
    x = 2,081,887.99/1,727.23
  6. Step 6: Final answer
    x = 1,205.33

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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.