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Finding the Fourth Proportional to 2,891.29, 3,991.46 and 2,005.56

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Solution

The fourth proportional to 2,891.29, 3,991.46 and 2,005.56 is: 2,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.29 : 3,991.46 = 2,005.56 : x
  2. Step 2: Convert to fraction form
    2,891.29/3,991.46 = 2,005.56/x
  3. Step 3: Cross multiply
    2,891.29x = 3,991.46 × 2,005.56
  4. Step 4: Simplify right side
    2,891.29x = 8,005,082.53
  5. Step 5: Solve for x
    x = 8,005,082.53/2,891.29
  6. Step 6: Final answer
    x = 2,768.69

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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.