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Finding the Fourth Proportional to 1,727.96, 2,589.91 and 1,034.19

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Solution

The fourth proportional to 1,727.96, 2,589.91 and 1,034.19 is: 1,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.96 : 2,589.91 = 1,034.19 : x
  2. Step 2: Convert to fraction form
    1,727.96/2,589.91 = 1,034.19/x
  3. Step 3: Cross multiply
    1,727.96x = 2,589.91 × 1,034.19
  4. Step 4: Simplify right side
    1,727.96x = 2,678,456.44
  5. Step 5: Solve for x
    x = 2,678,456.44/1,727.96
  6. Step 6: Final answer
    x = 1,550.07

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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.