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Finding the Fourth Proportional to 2,252.14, 3,378.23 and 791.28

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Solution

The fourth proportional to 2,252.14, 3,378.23 and 791.28 is: 1,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.14 : 3,378.23 = 791.28 : x
  2. Step 2: Convert to fraction form
    2,252.14/3,378.23 = 791.28/x
  3. Step 3: Cross multiply
    2,252.14x = 3,378.23 × 791.28
  4. Step 4: Simplify right side
    2,252.14x = 2,673,124.85
  5. Step 5: Solve for x
    x = 2,673,124.85/2,252.14
  6. Step 6: Final answer
    x = 1,186.93

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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.