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Finding the Fourth Proportional to 2,252.21, 3,378.51 and 791.78

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Solution

The fourth proportional to 2,252.21, 3,378.51 and 791.78 is: 1,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.21 : 3,378.51 = 791.78 : x
  2. Step 2: Convert to fraction form
    2,252.21/3,378.51 = 791.78/x
  3. Step 3: Cross multiply
    2,252.21x = 3,378.51 × 791.78
  4. Step 4: Simplify right side
    2,252.21x = 2,675,019.76
  5. Step 5: Solve for x
    x = 2,675,019.76/2,252.21
  6. Step 6: Final answer
    x = 1,187.73

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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.