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Finding the Fourth Proportional to 1,443.41, 2,163.39 and 827.54

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Solution

The fourth proportional to 1,443.41, 2,163.39 and 827.54 is: 1,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.41 : 2,163.39 = 827.54 : x
  2. Step 2: Convert to fraction form
    1,443.41/2,163.39 = 827.54/x
  3. Step 3: Cross multiply
    1,443.41x = 2,163.39 × 827.54
  4. Step 4: Simplify right side
    1,443.41x = 1,790,280.94
  5. Step 5: Solve for x
    x = 1,790,280.94/1,443.41
  6. Step 6: Final answer
    x = 1,240.32

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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.