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Finding the Fourth Proportional to 2,600.96, 3,896.24 and 1,212.39

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Solution

The fourth proportional to 2,600.96, 3,896.24 and 1,212.39 is: 1,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.96 : 3,896.24 = 1,212.39 : x
  2. Step 2: Convert to fraction form
    2,600.96/3,896.24 = 1,212.39/x
  3. Step 3: Cross multiply
    2,600.96x = 3,896.24 × 1,212.39
  4. Step 4: Simplify right side
    2,600.96x = 4,723,756.35
  5. Step 5: Solve for x
    x = 4,723,756.35/2,600.96
  6. Step 6: Final answer
    x = 1,816.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.