Home / 1,102.20-1,643.82-938.73

Finding the Fourth Proportional to 1,102.20, 1,643.82 and 938.73

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Solution

The fourth proportional to 1,102.20, 1,643.82 and 938.73 is: 1,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.20 : 1,643.82 = 938.73 : x
  2. Step 2: Convert to fraction form
    1,102.20/1,643.82 = 938.73/x
  3. Step 3: Cross multiply
    1,102.20x = 1,643.82 × 938.73
  4. Step 4: Simplify right side
    1,102.20x = 1,543,103.15
  5. Step 5: Solve for x
    x = 1,543,103.15/1,102.20
  6. Step 6: Final answer
    x = 1,400.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.