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Finding the Fourth Proportional to 2,876.12, 3,968.84 and 1,617.30

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Solution

The fourth proportional to 2,876.12, 3,968.84 and 1,617.30 is: 2,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.12 : 3,968.84 = 1,617.30 : x
  2. Step 2: Convert to fraction form
    2,876.12/3,968.84 = 1,617.30/x
  3. Step 3: Cross multiply
    2,876.12x = 3,968.84 × 1,617.30
  4. Step 4: Simplify right side
    2,876.12x = 6,418,808.98
  5. Step 5: Solve for x
    x = 6,418,808.98/2,876.12
  6. Step 6: Final answer
    x = 2,231.76

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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.