Home / 2,823.38-3,896.26-1,581.38

Finding the Fourth Proportional to 2,823.38, 3,896.26 and 1,581.38

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Solution

The fourth proportional to 2,823.38, 3,896.26 and 1,581.38 is: 2,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.38 : 3,896.26 = 1,581.38 : x
  2. Step 2: Convert to fraction form
    2,823.38/3,896.26 = 1,581.38/x
  3. Step 3: Cross multiply
    2,823.38x = 3,896.26 × 1,581.38
  4. Step 4: Simplify right side
    2,823.38x = 6,161,467.64
  5. Step 5: Solve for x
    x = 6,161,467.64/2,823.38
  6. Step 6: Final answer
    x = 2,182.30

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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.