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Finding the Fourth Proportional to 3,441.38, 5,161.94 and 1,494.95

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Solution

The fourth proportional to 3,441.38, 5,161.94 and 1,494.95 is: 2,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.38 : 5,161.94 = 1,494.95 : x
  2. Step 2: Convert to fraction form
    3,441.38/5,161.94 = 1,494.95/x
  3. Step 3: Cross multiply
    3,441.38x = 5,161.94 × 1,494.95
  4. Step 4: Simplify right side
    3,441.38x = 7,716,834.73
  5. Step 5: Solve for x
    x = 7,716,834.73/3,441.38
  6. Step 6: Final answer
    x = 2,242.37

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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.