Home / 2,826.16-3,896.26-1,882

Finding the Fourth Proportional to 2,826.16, 3,896.26 and 1,882

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Solution

The fourth proportional to 2,826.16, 3,896.26 and 1,882 is: 2,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.16 : 3,896.26 = 1,882 : x
  2. Step 2: Convert to fraction form
    2,826.16/3,896.26 = 1,882/x
  3. Step 3: Cross multiply
    2,826.16x = 3,896.26 × 1,882
  4. Step 4: Simplify right side
    2,826.16x = 7,332,761.32
  5. Step 5: Solve for x
    x = 7,332,761.32/2,826.16
  6. Step 6: Final answer
    x = 2,594.60

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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.