Home / 2,782.08-4,158-2,198.88

Finding the Fourth Proportional to 2,782.08, 4,158 and 2,198.88

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Solution

The fourth proportional to 2,782.08, 4,158 and 2,198.88 is: 3,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.08 : 4,158 = 2,198.88 : x
  2. Step 2: Convert to fraction form
    2,782.08/4,158 = 2,198.88/x
  3. Step 3: Cross multiply
    2,782.08x = 4,158 × 2,198.88
  4. Step 4: Simplify right side
    2,782.08x = 9,142,943.04
  5. Step 5: Solve for x
    x = 9,142,943.04/2,782.08
  6. Step 6: Final answer
    x = 3,286.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.