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Finding the Fourth Proportional to 1,727.99, 2,589.82 and 1,233.62

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Solution

The fourth proportional to 1,727.99, 2,589.82 and 1,233.62 is: 1,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.99 : 2,589.82 = 1,233.62 : x
  2. Step 2: Convert to fraction form
    1,727.99/2,589.82 = 1,233.62/x
  3. Step 3: Cross multiply
    1,727.99x = 2,589.82 × 1,233.62
  4. Step 4: Simplify right side
    1,727.99x = 3,194,853.75
  5. Step 5: Solve for x
    x = 3,194,853.75/1,727.99
  6. Step 6: Final answer
    x = 1,848.88

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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.