Home / 2,524.37-3,782.30-1,600.97

Finding the Fourth Proportional to 2,524.37, 3,782.30 and 1,600.97

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Solution

The fourth proportional to 2,524.37, 3,782.30 and 1,600.97 is: 2,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.37 : 3,782.30 = 1,600.97 : x
  2. Step 2: Convert to fraction form
    2,524.37/3,782.30 = 1,600.97/x
  3. Step 3: Cross multiply
    2,524.37x = 3,782.30 × 1,600.97
  4. Step 4: Simplify right side
    2,524.37x = 6,055,321.91
  5. Step 5: Solve for x
    x = 6,055,321.91/2,524.37
  6. Step 6: Final answer
    x = 2,398.75

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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.