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Finding the Fourth Proportional to 2,868.28, 3,959.72 and 2,228.80

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Solution

The fourth proportional to 2,868.28, 3,959.72 and 2,228.80 is: 3,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.28 : 3,959.72 = 2,228.80 : x
  2. Step 2: Convert to fraction form
    2,868.28/3,959.72 = 2,228.80/x
  3. Step 3: Cross multiply
    2,868.28x = 3,959.72 × 2,228.80
  4. Step 4: Simplify right side
    2,868.28x = 8,825,392.99
  5. Step 5: Solve for x
    x = 8,825,392.99/2,868.28
  6. Step 6: Final answer
    x = 3,076.90

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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.