Home / 1,241.24-1,861.53-419.34

Finding the Fourth Proportional to 1,241.24, 1,861.53 and 419.34

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Solution

The fourth proportional to 1,241.24, 1,861.53 and 419.34 is: 628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.24 : 1,861.53 = 419.34 : x
  2. Step 2: Convert to fraction form
    1,241.24/1,861.53 = 419.34/x
  3. Step 3: Cross multiply
    1,241.24x = 1,861.53 × 419.34
  4. Step 4: Simplify right side
    1,241.24x = 780,621.76
  5. Step 5: Solve for x
    x = 780,621.76/1,241.24
  6. Step 6: Final answer
    x = 628.90

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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.