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Finding the Fourth Proportional to 2,252.30, 3,378.46 and 791.12

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Solution

The fourth proportional to 2,252.30, 3,378.46 and 791.12 is: 1,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.30 : 3,378.46 = 791.12 : x
  2. Step 2: Convert to fraction form
    2,252.30/3,378.46 = 791.12/x
  3. Step 3: Cross multiply
    2,252.30x = 3,378.46 × 791.12
  4. Step 4: Simplify right side
    2,252.30x = 2,672,767.28
  5. Step 5: Solve for x
    x = 2,672,767.28/2,252.30
  6. Step 6: Final answer
    x = 1,186.68

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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.