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Finding the Fourth Proportional to 2,252.17, 3,378.78 and 791.33

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Solution

The fourth proportional to 2,252.17, 3,378.78 and 791.33 is: 1,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.17 : 3,378.78 = 791.33 : x
  2. Step 2: Convert to fraction form
    2,252.17/3,378.78 = 791.33/x
  3. Step 3: Cross multiply
    2,252.17x = 3,378.78 × 791.33
  4. Step 4: Simplify right side
    2,252.17x = 2,673,726.02
  5. Step 5: Solve for x
    x = 2,673,726.02/2,252.17
  6. Step 6: Final answer
    x = 1,187.18

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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.