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Finding the Fourth Proportional to 2,882.26, 3,977.50 and 1,640.26

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Solution

The fourth proportional to 2,882.26, 3,977.50 and 1,640.26 is: 2,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.26 : 3,977.50 = 1,640.26 : x
  2. Step 2: Convert to fraction form
    2,882.26/3,977.50 = 1,640.26/x
  3. Step 3: Cross multiply
    2,882.26x = 3,977.50 × 1,640.26
  4. Step 4: Simplify right side
    2,882.26x = 6,524,134.15
  5. Step 5: Solve for x
    x = 6,524,134.15/2,882.26
  6. Step 6: Final answer
    x = 2,263.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.