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Finding the Fourth Proportional to 2,224.68, 3,334.86 and 2,086.44

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Solution

The fourth proportional to 2,224.68, 3,334.86 and 2,086.44 is: 3,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.68 : 3,334.86 = 2,086.44 : x
  2. Step 2: Convert to fraction form
    2,224.68/3,334.86 = 2,086.44/x
  3. Step 3: Cross multiply
    2,224.68x = 3,334.86 × 2,086.44
  4. Step 4: Simplify right side
    2,224.68x = 6,957,985.30
  5. Step 5: Solve for x
    x = 6,957,985.30/2,224.68
  6. Step 6: Final answer
    x = 3,127.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.