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Finding the Fourth Proportional to 2,791.68, 4,185.87 and 1,635

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Solution

The fourth proportional to 2,791.68, 4,185.87 and 1,635 is: 2,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.68 : 4,185.87 = 1,635 : x
  2. Step 2: Convert to fraction form
    2,791.68/4,185.87 = 1,635/x
  3. Step 3: Cross multiply
    2,791.68x = 4,185.87 × 1,635
  4. Step 4: Simplify right side
    2,791.68x = 6,843,897.45
  5. Step 5: Solve for x
    x = 6,843,897.45/2,791.68
  6. Step 6: Final answer
    x = 2,451.53

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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.