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Finding the Fourth Proportional to 1,461.27, 2,016.83 and 863.73

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Solution

The fourth proportional to 1,461.27, 2,016.83 and 863.73 is: 1,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.27 : 2,016.83 = 863.73 : x
  2. Step 2: Convert to fraction form
    1,461.27/2,016.83 = 863.73/x
  3. Step 3: Cross multiply
    1,461.27x = 2,016.83 × 863.73
  4. Step 4: Simplify right side
    1,461.27x = 1,741,992.26
  5. Step 5: Solve for x
    x = 1,741,992.26/1,461.27
  6. Step 6: Final answer
    x = 1,192.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.