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Finding the Fourth Proportional to 1,817.41, 2,723.83 and 996.27

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Solution

The fourth proportional to 1,817.41, 2,723.83 and 996.27 is: 1,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.41 : 2,723.83 = 996.27 : x
  2. Step 2: Convert to fraction form
    1,817.41/2,723.83 = 996.27/x
  3. Step 3: Cross multiply
    1,817.41x = 2,723.83 × 996.27
  4. Step 4: Simplify right side
    1,817.41x = 2,713,680.39
  5. Step 5: Solve for x
    x = 2,713,680.39/1,817.41
  6. Step 6: Final answer
    x = 1,493.16

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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.