Home / 2,774.26-4,160.67-826.12

Finding the Fourth Proportional to 2,774.26, 4,160.67 and 826.12

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Solution

The fourth proportional to 2,774.26, 4,160.67 and 826.12 is: 1,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.26 : 4,160.67 = 826.12 : x
  2. Step 2: Convert to fraction form
    2,774.26/4,160.67 = 826.12/x
  3. Step 3: Cross multiply
    2,774.26x = 4,160.67 × 826.12
  4. Step 4: Simplify right side
    2,774.26x = 3,437,212.70
  5. Step 5: Solve for x
    x = 3,437,212.70/2,774.26
  6. Step 6: Final answer
    x = 1,238.97

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1.5x scale

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.