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Finding the Fourth Proportional to 2,596.74, 3,896.25 and 1,363.85

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Solution

The fourth proportional to 2,596.74, 3,896.25 and 1,363.85 is: 2,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.74 : 3,896.25 = 1,363.85 : x
  2. Step 2: Convert to fraction form
    2,596.74/3,896.25 = 1,363.85/x
  3. Step 3: Cross multiply
    2,596.74x = 3,896.25 × 1,363.85
  4. Step 4: Simplify right side
    2,596.74x = 5,313,900.56
  5. Step 5: Solve for x
    x = 5,313,900.56/2,596.74
  6. Step 6: Final answer
    x = 2,046.38

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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.