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Finding the Fourth Proportional to 2,086.62, 2,872.22 and 1,889.79

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Solution

The fourth proportional to 2,086.62, 2,872.22 and 1,889.79 is: 2,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.62 : 2,872.22 = 1,889.79 : x
  2. Step 2: Convert to fraction form
    2,086.62/2,872.22 = 1,889.79/x
  3. Step 3: Cross multiply
    2,086.62x = 2,872.22 × 1,889.79
  4. Step 4: Simplify right side
    2,086.62x = 5,427,892.63
  5. Step 5: Solve for x
    x = 5,427,892.63/2,086.62
  6. Step 6: Final answer
    x = 2,601.28

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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.