Home / 1,910.42-2,865.82-523.84

Finding the Fourth Proportional to 1,910.42, 2,865.82 and 523.84

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Solution

The fourth proportional to 1,910.42, 2,865.82 and 523.84 is: 785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.42 : 2,865.82 = 523.84 : x
  2. Step 2: Convert to fraction form
    1,910.42/2,865.82 = 523.84/x
  3. Step 3: Cross multiply
    1,910.42x = 2,865.82 × 523.84
  4. Step 4: Simplify right side
    1,910.42x = 1,501,231.15
  5. Step 5: Solve for x
    x = 1,501,231.15/1,910.42
  6. Step 6: Final answer
    x = 785.81

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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.