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Finding the Fourth Proportional to 2,450.05, 3,675.22 and 1,338.02

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Solution

The fourth proportional to 2,450.05, 3,675.22 and 1,338.02 is: 2,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.05 : 3,675.22 = 1,338.02 : x
  2. Step 2: Convert to fraction form
    2,450.05/3,675.22 = 1,338.02/x
  3. Step 3: Cross multiply
    2,450.05x = 3,675.22 × 1,338.02
  4. Step 4: Simplify right side
    2,450.05x = 4,917,517.45
  5. Step 5: Solve for x
    x = 4,917,517.45/2,450.05
  6. Step 6: Final answer
    x = 2,007.11

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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.