Home / 2,564.28-3,847-1,082.66

Finding the Fourth Proportional to 2,564.28, 3,847 and 1,082.66

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Solution

The fourth proportional to 2,564.28, 3,847 and 1,082.66 is: 1,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.28 : 3,847 = 1,082.66 : x
  2. Step 2: Convert to fraction form
    2,564.28/3,847 = 1,082.66/x
  3. Step 3: Cross multiply
    2,564.28x = 3,847 × 1,082.66
  4. Step 4: Simplify right side
    2,564.28x = 4,164,993.02
  5. Step 5: Solve for x
    x = 4,164,993.02/2,564.28
  6. Step 6: Final answer
    x = 1,624.23

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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.