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Finding the Fourth Proportional to 2,711.78, 4,069.51 and 1,251.05

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Solution

The fourth proportional to 2,711.78, 4,069.51 and 1,251.05 is: 1,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.78 : 4,069.51 = 1,251.05 : x
  2. Step 2: Convert to fraction form
    2,711.78/4,069.51 = 1,251.05/x
  3. Step 3: Cross multiply
    2,711.78x = 4,069.51 × 1,251.05
  4. Step 4: Simplify right side
    2,711.78x = 5,091,137.01
  5. Step 5: Solve for x
    x = 5,091,137.01/2,711.78
  6. Step 6: Final answer
    x = 1,877.42

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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.