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Finding the Fourth Proportional to 3,201.08, 4,419.18 and 1,942.92

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Solution

The fourth proportional to 3,201.08, 4,419.18 and 1,942.92 is: 2,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.08 : 4,419.18 = 1,942.92 : x
  2. Step 2: Convert to fraction form
    3,201.08/4,419.18 = 1,942.92/x
  3. Step 3: Cross multiply
    3,201.08x = 4,419.18 × 1,942.92
  4. Step 4: Simplify right side
    3,201.08x = 8,586,113.21
  5. Step 5: Solve for x
    x = 8,586,113.21/3,201.08
  6. Step 6: Final answer
    x = 2,682.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.