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Finding the Fourth Proportional to 1,083.39, 1,617.97 and 1,072.05

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Solution

The fourth proportional to 1,083.39, 1,617.97 and 1,072.05 is: 1,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.39 : 1,617.97 = 1,072.05 : x
  2. Step 2: Convert to fraction form
    1,083.39/1,617.97 = 1,072.05/x
  3. Step 3: Cross multiply
    1,083.39x = 1,617.97 × 1,072.05
  4. Step 4: Simplify right side
    1,083.39x = 1,734,542.06
  5. Step 5: Solve for x
    x = 1,734,542.06/1,083.39
  6. Step 6: Final answer
    x = 1,601.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.