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Finding the Fourth Proportional to 2,876.33, 3,969.28 and 1,617.40

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Solution

The fourth proportional to 2,876.33, 3,969.28 and 1,617.40 is: 2,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.33 : 3,969.28 = 1,617.40 : x
  2. Step 2: Convert to fraction form
    2,876.33/3,969.28 = 1,617.40/x
  3. Step 3: Cross multiply
    2,876.33x = 3,969.28 × 1,617.40
  4. Step 4: Simplify right side
    2,876.33x = 6,419,913.47
  5. Step 5: Solve for x
    x = 6,419,913.47/2,876.33
  6. Step 6: Final answer
    x = 2,231.98

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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.