Home / 2,055.26-3,082.07-822.44

Finding the Fourth Proportional to 2,055.26, 3,082.07 and 822.44

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Solution

The fourth proportional to 2,055.26, 3,082.07 and 822.44 is: 1,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.26 : 3,082.07 = 822.44 : x
  2. Step 2: Convert to fraction form
    2,055.26/3,082.07 = 822.44/x
  3. Step 3: Cross multiply
    2,055.26x = 3,082.07 × 822.44
  4. Step 4: Simplify right side
    2,055.26x = 2,534,804.30
  5. Step 5: Solve for x
    x = 2,534,804.30/2,055.26
  6. Step 6: Final answer
    x = 1,233.33

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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.