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Finding the Fourth Proportional to 2,791.68, 4,186.86 and 816.87

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Solution

The fourth proportional to 2,791.68, 4,186.86 and 816.87 is: 1,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.68 : 4,186.86 = 816.87 : x
  2. Step 2: Convert to fraction form
    2,791.68/4,186.86 = 816.87/x
  3. Step 3: Cross multiply
    2,791.68x = 4,186.86 × 816.87
  4. Step 4: Simplify right side
    2,791.68x = 3,420,133.97
  5. Step 5: Solve for x
    x = 3,420,133.97/2,791.68
  6. Step 6: Final answer
    x = 1,225.12

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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.