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Finding the Fourth Proportional to 2,087.94, 2,882.42 and 1,614.77

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Solution

The fourth proportional to 2,087.94, 2,882.42 and 1,614.77 is: 2,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.94 : 2,882.42 = 1,614.77 : x
  2. Step 2: Convert to fraction form
    2,087.94/2,882.42 = 1,614.77/x
  3. Step 3: Cross multiply
    2,087.94x = 2,882.42 × 1,614.77
  4. Step 4: Simplify right side
    2,087.94x = 4,654,439.72
  5. Step 5: Solve for x
    x = 4,654,439.72/2,087.94
  6. Step 6: Final answer
    x = 2,229.20

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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.