Home / 2,122.74-3,183-1,082.16

Finding the Fourth Proportional to 2,122.74, 3,183 and 1,082.16

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Solution

The fourth proportional to 2,122.74, 3,183 and 1,082.16 is: 1,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.74 : 3,183 = 1,082.16 : x
  2. Step 2: Convert to fraction form
    2,122.74/3,183 = 1,082.16/x
  3. Step 3: Cross multiply
    2,122.74x = 3,183 × 1,082.16
  4. Step 4: Simplify right side
    2,122.74x = 3,444,515.28
  5. Step 5: Solve for x
    x = 3,444,515.28/2,122.74
  6. Step 6: Final answer
    x = 1,622.67

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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.