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Finding the Fourth Proportional to 2,188.24, 3,278.24 and 1,092.02

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Solution

The fourth proportional to 2,188.24, 3,278.24 and 1,092.02 is: 1,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.24 : 3,278.24 = 1,092.02 : x
  2. Step 2: Convert to fraction form
    2,188.24/3,278.24 = 1,092.02/x
  3. Step 3: Cross multiply
    2,188.24x = 3,278.24 × 1,092.02
  4. Step 4: Simplify right side
    2,188.24x = 3,579,903.64
  5. Step 5: Solve for x
    x = 3,579,903.64/2,188.24
  6. Step 6: Final answer
    x = 1,635.97

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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.