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Finding the Fourth Proportional to 1,727.94, 2,383.83 and 1,204.29

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Solution

The fourth proportional to 1,727.94, 2,383.83 and 1,204.29 is: 1,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.94 : 2,383.83 = 1,204.29 : x
  2. Step 2: Convert to fraction form
    1,727.94/2,383.83 = 1,204.29/x
  3. Step 3: Cross multiply
    1,727.94x = 2,383.83 × 1,204.29
  4. Step 4: Simplify right side
    1,727.94x = 2,870,822.63
  5. Step 5: Solve for x
    x = 2,870,822.63/1,727.94
  6. Step 6: Final answer
    x = 1,661.41

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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.