Home / 2,082.09-3,121.92-1,503.75

Finding the Fourth Proportional to 2,082.09, 3,121.92 and 1,503.75

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Solution

The fourth proportional to 2,082.09, 3,121.92 and 1,503.75 is: 2,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.09 : 3,121.92 = 1,503.75 : x
  2. Step 2: Convert to fraction form
    2,082.09/3,121.92 = 1,503.75/x
  3. Step 3: Cross multiply
    2,082.09x = 3,121.92 × 1,503.75
  4. Step 4: Simplify right side
    2,082.09x = 4,694,587.20
  5. Step 5: Solve for x
    x = 4,694,587.20/2,082.09
  6. Step 6: Final answer
    x = 2,254.75

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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.