Home / 2,774.31-4,160.04-826.26

Finding the Fourth Proportional to 2,774.31, 4,160.04 and 826.26

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Solution

The fourth proportional to 2,774.31, 4,160.04 and 826.26 is: 1,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.31 : 4,160.04 = 826.26 : x
  2. Step 2: Convert to fraction form
    2,774.31/4,160.04 = 826.26/x
  3. Step 3: Cross multiply
    2,774.31x = 4,160.04 × 826.26
  4. Step 4: Simplify right side
    2,774.31x = 3,437,260.60
  5. Step 5: Solve for x
    x = 3,437,260.60/2,774.31
  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.