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Finding the Fourth Proportional to 1,243.73, 1,861.95 and 872.24

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Solution

The fourth proportional to 1,243.73, 1,861.95 and 872.24 is: 1,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.73 : 1,861.95 = 872.24 : x
  2. Step 2: Convert to fraction form
    1,243.73/1,861.95 = 872.24/x
  3. Step 3: Cross multiply
    1,243.73x = 1,861.95 × 872.24
  4. Step 4: Simplify right side
    1,243.73x = 1,624,067.27
  5. Step 5: Solve for x
    x = 1,624,067.27/1,243.73
  6. Step 6: Final answer
    x = 1,305.80

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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.