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Finding the Fourth Proportional to 3,196.14, 4,794.22 and 1,896.90

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Solution

The fourth proportional to 3,196.14, 4,794.22 and 1,896.90 is: 2,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.14 : 4,794.22 = 1,896.90 : x
  2. Step 2: Convert to fraction form
    3,196.14/4,794.22 = 1,896.90/x
  3. Step 3: Cross multiply
    3,196.14x = 4,794.22 × 1,896.90
  4. Step 4: Simplify right side
    3,196.14x = 9,094,155.92
  5. Step 5: Solve for x
    x = 9,094,155.92/3,196.14
  6. Step 6: Final answer
    x = 2,845.36

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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.