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Finding the Fourth Proportional to 2,596.81, 3,896.36 and 1,363.94

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Solution

The fourth proportional to 2,596.81, 3,896.36 and 1,363.94 is: 2,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.81 : 3,896.36 = 1,363.94 : x
  2. Step 2: Convert to fraction form
    2,596.81/3,896.36 = 1,363.94/x
  3. Step 3: Cross multiply
    2,596.81x = 3,896.36 × 1,363.94
  4. Step 4: Simplify right side
    2,596.81x = 5,314,380.07
  5. Step 5: Solve for x
    x = 5,314,380.07/2,596.81
  6. Step 6: Final answer
    x = 2,046.50

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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.