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Finding the Fourth Proportional to 2,367.12, 3,264.84 and 2,227.60

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Solution

The fourth proportional to 2,367.12, 3,264.84 and 2,227.60 is: 3,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.12 : 3,264.84 = 2,227.60 : x
  2. Step 2: Convert to fraction form
    2,367.12/3,264.84 = 2,227.60/x
  3. Step 3: Cross multiply
    2,367.12x = 3,264.84 × 2,227.60
  4. Step 4: Simplify right side
    2,367.12x = 7,272,757.58
  5. Step 5: Solve for x
    x = 7,272,757.58/2,367.12
  6. Step 6: Final answer
    x = 3,072.41

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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.