Home / 2,561.14-3,843.87-1,023.22

Finding the Fourth Proportional to 2,561.14, 3,843.87 and 1,023.22

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Solution

The fourth proportional to 2,561.14, 3,843.87 and 1,023.22 is: 1,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.14 : 3,843.87 = 1,023.22 : x
  2. Step 2: Convert to fraction form
    2,561.14/3,843.87 = 1,023.22/x
  3. Step 3: Cross multiply
    2,561.14x = 3,843.87 × 1,023.22
  4. Step 4: Simplify right side
    2,561.14x = 3,933,124.66
  5. Step 5: Solve for x
    x = 3,933,124.66/2,561.14
  6. Step 6: Final answer
    x = 1,535.69

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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.