Home / 1,443.40-2,163.38-827.54

Finding the Fourth Proportional to 1,443.40, 2,163.38 and 827.54

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Solution

The fourth proportional to 1,443.40, 2,163.38 and 827.54 is: 1,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.40 : 2,163.38 = 827.54 : x
  2. Step 2: Convert to fraction form
    1,443.40/2,163.38 = 827.54/x
  3. Step 3: Cross multiply
    1,443.40x = 2,163.38 × 827.54
  4. Step 4: Simplify right side
    1,443.40x = 1,790,283.49
  5. Step 5: Solve for x
    x = 1,790,283.49/1,443.40
  6. Step 6: Final answer
    x = 1,240.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.