Home / 1,451.63-2,003.24-822.36

Finding the Fourth Proportional to 1,451.63, 2,003.24 and 822.36

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Solution

The fourth proportional to 1,451.63, 2,003.24 and 822.36 is: 1,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.63 : 2,003.24 = 822.36 : x
  2. Step 2: Convert to fraction form
    1,451.63/2,003.24 = 822.36/x
  3. Step 3: Cross multiply
    1,451.63x = 2,003.24 × 822.36
  4. Step 4: Simplify right side
    1,451.63x = 1,647,380.33
  5. Step 5: Solve for x
    x = 1,647,380.33/1,451.63
  6. Step 6: Final answer
    x = 1,134.85

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Why These Related Problems?

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