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Finding the Fourth Proportional to 1,724.97, 2,383.25 and 1,203.33

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Solution

The fourth proportional to 1,724.97, 2,383.25 and 1,203.33 is: 1,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.97 : 2,383.25 = 1,203.33 : x
  2. Step 2: Convert to fraction form
    1,724.97/2,383.25 = 1,203.33/x
  3. Step 3: Cross multiply
    1,724.97x = 2,383.25 × 1,203.33
  4. Step 4: Simplify right side
    1,724.97x = 2,867,836.22
  5. Step 5: Solve for x
    x = 2,867,836.22/1,724.97
  6. Step 6: Final answer
    x = 1,662.54

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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.