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Finding the Fourth Proportional to 2,821.68, 3,891.24 and 2,158.56

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Solution

The fourth proportional to 2,821.68, 3,891.24 and 2,158.56 is: 2,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.68 : 3,891.24 = 2,158.56 : x
  2. Step 2: Convert to fraction form
    2,821.68/3,891.24 = 2,158.56/x
  3. Step 3: Cross multiply
    2,821.68x = 3,891.24 × 2,158.56
  4. Step 4: Simplify right side
    2,821.68x = 8,399,475.01
  5. Step 5: Solve for x
    x = 8,399,475.01/2,821.68
  6. Step 6: Final answer
    x = 2,976.76

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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.