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Finding the Fourth Proportional to 2,822.64, 3,896.28 and 2,122.80

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Solution

The fourth proportional to 2,822.64, 3,896.28 and 2,122.80 is: 2,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.64 : 3,896.28 = 2,122.80 : x
  2. Step 2: Convert to fraction form
    2,822.64/3,896.28 = 2,122.80/x
  3. Step 3: Cross multiply
    2,822.64x = 3,896.28 × 2,122.80
  4. Step 4: Simplify right side
    2,822.64x = 8,271,023.18
  5. Step 5: Solve for x
    x = 8,271,023.18/2,822.64
  6. Step 6: Final answer
    x = 2,930.24

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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.