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Finding the Fourth Proportional to 3,196.16, 4,797.26 and 1,965.98

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Solution

The fourth proportional to 3,196.16, 4,797.26 and 1,965.98 is: 2,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.16 : 4,797.26 = 1,965.98 : x
  2. Step 2: Convert to fraction form
    3,196.16/4,797.26 = 1,965.98/x
  3. Step 3: Cross multiply
    3,196.16x = 4,797.26 × 1,965.98
  4. Step 4: Simplify right side
    3,196.16x = 9,431,317.21
  5. Step 5: Solve for x
    x = 9,431,317.21/3,196.16
  6. Step 6: Final answer
    x = 2,950.83

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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.