Home / 2,774.40-4,160.39-826.22

Finding the Fourth Proportional to 2,774.40, 4,160.39 and 826.22

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Solution

The fourth proportional to 2,774.40, 4,160.39 and 826.22 is: 1,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.40 : 4,160.39 = 826.22 : x
  2. Step 2: Convert to fraction form
    2,774.40/4,160.39 = 826.22/x
  3. Step 3: Cross multiply
    2,774.40x = 4,160.39 × 826.22
  4. Step 4: Simplify right side
    2,774.40x = 3,437,372.49
  5. Step 5: Solve for x
    x = 3,437,372.49/2,774.40
  6. Step 6: Final answer
    x = 1,238.96

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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.