Home / 2,082.07-3,122.53-1,027.37

Finding the Fourth Proportional to 2,082.07, 3,122.53 and 1,027.37

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Solution

The fourth proportional to 2,082.07, 3,122.53 and 1,027.37 is: 1,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.07 : 3,122.53 = 1,027.37 : x
  2. Step 2: Convert to fraction form
    2,082.07/3,122.53 = 1,027.37/x
  3. Step 3: Cross multiply
    2,082.07x = 3,122.53 × 1,027.37
  4. Step 4: Simplify right side
    2,082.07x = 3,207,993.65
  5. Step 5: Solve for x
    x = 3,207,993.65/2,082.07
  6. Step 6: Final answer
    x = 1,540.77

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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.