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Finding the Fourth Proportional to 2,822.68, 3,891.18 and 2,232.28

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Solution

The fourth proportional to 2,822.68, 3,891.18 and 2,232.28 is: 3,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.68 : 3,891.18 = 2,232.28 : x
  2. Step 2: Convert to fraction form
    2,822.68/3,891.18 = 2,232.28/x
  3. Step 3: Cross multiply
    2,822.68x = 3,891.18 × 2,232.28
  4. Step 4: Simplify right side
    2,822.68x = 8,686,203.29
  5. Step 5: Solve for x
    x = 8,686,203.29/2,822.68
  6. Step 6: Final answer
    x = 3,077.29

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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.