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Finding the Fourth Proportional to 2,601.03, 3,896.97 and 1,819.41

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Solution

The fourth proportional to 2,601.03, 3,896.97 and 1,819.41 is: 2,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.03 : 3,896.97 = 1,819.41 : x
  2. Step 2: Convert to fraction form
    2,601.03/3,896.97 = 1,819.41/x
  3. Step 3: Cross multiply
    2,601.03x = 3,896.97 × 1,819.41
  4. Step 4: Simplify right side
    2,601.03x = 7,090,186.19
  5. Step 5: Solve for x
    x = 7,090,186.19/2,601.03
  6. Step 6: Final answer
    x = 2,725.91

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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.