Home / 1,241.20-1,861.82-408.27

Finding the Fourth Proportional to 1,241.20, 1,861.82 and 408.27

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Solution

The fourth proportional to 1,241.20, 1,861.82 and 408.27 is: 612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.20 : 1,861.82 = 408.27 : x
  2. Step 2: Convert to fraction form
    1,241.20/1,861.82 = 408.27/x
  3. Step 3: Cross multiply
    1,241.20x = 1,861.82 × 408.27
  4. Step 4: Simplify right side
    1,241.20x = 760,125.25
  5. Step 5: Solve for x
    x = 760,125.25/1,241.20
  6. Step 6: Final answer
    x = 612.41

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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.