Home / 2,462.44-3,693.73-819.15

Finding the Fourth Proportional to 2,462.44, 3,693.73 and 819.15

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Solution

The fourth proportional to 2,462.44, 3,693.73 and 819.15 is: 1,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.44 : 3,693.73 = 819.15 : x
  2. Step 2: Convert to fraction form
    2,462.44/3,693.73 = 819.15/x
  3. Step 3: Cross multiply
    2,462.44x = 3,693.73 × 819.15
  4. Step 4: Simplify right side
    2,462.44x = 3,025,718.93
  5. Step 5: Solve for x
    x = 3,025,718.93/2,462.44
  6. Step 6: Final answer
    x = 1,228.75

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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.