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Finding the Fourth Proportional to 1,791.25, 2,471.97 and 1,005.46

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Solution

The fourth proportional to 1,791.25, 2,471.97 and 1,005.46 is: 1,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.25 : 2,471.97 = 1,005.46 : x
  2. Step 2: Convert to fraction form
    1,791.25/2,471.97 = 1,005.46/x
  3. Step 3: Cross multiply
    1,791.25x = 2,471.97 × 1,005.46
  4. Step 4: Simplify right side
    1,791.25x = 2,485,466.96
  5. Step 5: Solve for x
    x = 2,485,466.96/1,791.25
  6. Step 6: Final answer
    x = 1,387.56

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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.