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Finding the Fourth Proportional to 1,791.42, 2,468.07 and 1,341.33

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Solution

The fourth proportional to 1,791.42, 2,468.07 and 1,341.33 is: 1,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.42 : 2,468.07 = 1,341.33 : x
  2. Step 2: Convert to fraction form
    1,791.42/2,468.07 = 1,341.33/x
  3. Step 3: Cross multiply
    1,791.42x = 2,468.07 × 1,341.33
  4. Step 4: Simplify right side
    1,791.42x = 3,310,496.33
  5. Step 5: Solve for x
    x = 3,310,496.33/1,791.42
  6. Step 6: Final answer
    x = 1,847.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.