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Finding the Fourth Proportional to 2,635.05, 3,942.84 and 2,168.49

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Solution

The fourth proportional to 2,635.05, 3,942.84 and 2,168.49 is: 3,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.05 : 3,942.84 = 2,168.49 : x
  2. Step 2: Convert to fraction form
    2,635.05/3,942.84 = 2,168.49/x
  3. Step 3: Cross multiply
    2,635.05x = 3,942.84 × 2,168.49
  4. Step 4: Simplify right side
    2,635.05x = 8,550,009.11
  5. Step 5: Solve for x
    x = 8,550,009.11/2,635.05
  6. Step 6: Final answer
    x = 3,244.72

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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.