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Finding the Fourth Proportional to 3,297.05, 4,942.29 and 1,648.57

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Solution

The fourth proportional to 3,297.05, 4,942.29 and 1,648.57 is: 2,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.05 : 4,942.29 = 1,648.57 : x
  2. Step 2: Convert to fraction form
    3,297.05/4,942.29 = 1,648.57/x
  3. Step 3: Cross multiply
    3,297.05x = 4,942.29 × 1,648.57
  4. Step 4: Simplify right side
    3,297.05x = 8,147,711.03
  5. Step 5: Solve for x
    x = 8,147,711.03/3,297.05
  6. Step 6: Final answer
    x = 2,471.21

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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.