Home / 3,023.82-4,171.96-1,829.25

Finding the Fourth Proportional to 3,023.82, 4,171.96 and 1,829.25

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Solution

The fourth proportional to 3,023.82, 4,171.96 and 1,829.25 is: 2,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.82 : 4,171.96 = 1,829.25 : x
  2. Step 2: Convert to fraction form
    3,023.82/4,171.96 = 1,829.25/x
  3. Step 3: Cross multiply
    3,023.82x = 4,171.96 × 1,829.25
  4. Step 4: Simplify right side
    3,023.82x = 7,631,560.12
  5. Step 5: Solve for x
    x = 7,631,560.12/3,023.82
  6. Step 6: Final answer
    x = 2,523.81

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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.