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Finding the Fourth Proportional to 2,876.13, 3,968.88 and 1,617.17

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Solution

The fourth proportional to 2,876.13, 3,968.88 and 1,617.17 is: 2,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.13 : 3,968.88 = 1,617.17 : x
  2. Step 2: Convert to fraction form
    2,876.13/3,968.88 = 1,617.17/x
  3. Step 3: Cross multiply
    2,876.13x = 3,968.88 × 1,617.17
  4. Step 4: Simplify right side
    2,876.13x = 6,418,333.83
  5. Step 5: Solve for x
    x = 6,418,333.83/2,876.13
  6. Step 6: Final answer
    x = 2,231.59

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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.