Home / 2,057.41-3,086.14-596.57

Finding the Fourth Proportional to 2,057.41, 3,086.14 and 596.57

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Solution

The fourth proportional to 2,057.41, 3,086.14 and 596.57 is: 894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.41 : 3,086.14 = 596.57 : x
  2. Step 2: Convert to fraction form
    2,057.41/3,086.14 = 596.57/x
  3. Step 3: Cross multiply
    2,057.41x = 3,086.14 × 596.57
  4. Step 4: Simplify right side
    2,057.41x = 1,841,098.54
  5. Step 5: Solve for x
    x = 1,841,098.54/2,057.41
  6. Step 6: Final answer
    x = 894.86

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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.