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Finding the Fourth Proportional to 2,819.23, 3,891.02 and 1,640.99

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Solution

The fourth proportional to 2,819.23, 3,891.02 and 1,640.99 is: 2,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.23 : 3,891.02 = 1,640.99 : x
  2. Step 2: Convert to fraction form
    2,819.23/3,891.02 = 1,640.99/x
  3. Step 3: Cross multiply
    2,819.23x = 3,891.02 × 1,640.99
  4. Step 4: Simplify right side
    2,819.23x = 6,385,126.43
  5. Step 5: Solve for x
    x = 6,385,126.43/2,819.23
  6. Step 6: Final answer
    x = 2,264.85

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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.