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Finding the Fourth Proportional to 2,876.11, 3,969 and 1,617.20

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Solution

The fourth proportional to 2,876.11, 3,969 and 1,617.20 is: 2,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.11 : 3,969 = 1,617.20 : x
  2. Step 2: Convert to fraction form
    2,876.11/3,969 = 1,617.20/x
  3. Step 3: Cross multiply
    2,876.11x = 3,969 × 1,617.20
  4. Step 4: Simplify right side
    2,876.11x = 6,418,661.84
  5. Step 5: Solve for x
    x = 6,418,661.84/2,876.11
  6. Step 6: Final answer
    x = 2,231.72

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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.