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Finding the Fourth Proportional to 2,876.39, 3,968.97 and 1,617.26

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Solution

The fourth proportional to 2,876.39, 3,968.97 and 1,617.26 is: 2,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.39 : 3,968.97 = 1,617.26 : x
  2. Step 2: Convert to fraction form
    2,876.39/3,968.97 = 1,617.26/x
  3. Step 3: Cross multiply
    2,876.39x = 3,968.97 × 1,617.26
  4. Step 4: Simplify right side
    2,876.39x = 6,418,836.58
  5. Step 5: Solve for x
    x = 6,418,836.58/2,876.39
  6. Step 6: Final answer
    x = 2,231.56

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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.