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Finding the Fourth Proportional to 2,791.18, 4,185.78 and 816.25

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Solution

The fourth proportional to 2,791.18, 4,185.78 and 816.25 is: 1,224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.18 : 4,185.78 = 816.25 : x
  2. Step 2: Convert to fraction form
    2,791.18/4,185.78 = 816.25/x
  3. Step 3: Cross multiply
    2,791.18x = 4,185.78 × 816.25
  4. Step 4: Simplify right side
    2,791.18x = 3,416,642.93
  5. Step 5: Solve for x
    x = 3,416,642.93/2,791.18
  6. Step 6: Final answer
    x = 1,224.09

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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.