Home / 1,983.20-2,974.91-596.73

Finding the Fourth Proportional to 1,983.20, 2,974.91 and 596.73

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Solution

The fourth proportional to 1,983.20, 2,974.91 and 596.73 is: 895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.20 : 2,974.91 = 596.73 : x
  2. Step 2: Convert to fraction form
    1,983.20/2,974.91 = 596.73/x
  3. Step 3: Cross multiply
    1,983.20x = 2,974.91 × 596.73
  4. Step 4: Simplify right side
    1,983.20x = 1,775,218.04
  5. Step 5: Solve for x
    x = 1,775,218.04/1,983.20
  6. Step 6: Final answer
    x = 895.13

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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.