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Finding the Fourth Proportional to 2,087.52, 2,872.10 and 1,806.88

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Solution

The fourth proportional to 2,087.52, 2,872.10 and 1,806.88 is: 2,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.52 : 2,872.10 = 1,806.88 : x
  2. Step 2: Convert to fraction form
    2,087.52/2,872.10 = 1,806.88/x
  3. Step 3: Cross multiply
    2,087.52x = 2,872.10 × 1,806.88
  4. Step 4: Simplify right side
    2,087.52x = 5,189,540.05
  5. Step 5: Solve for x
    x = 5,189,540.05/2,087.52
  6. Step 6: Final answer
    x = 2,485.98

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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.