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Finding the Fourth Proportional to 2,675, 4,013.14 and 851

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Solution

The fourth proportional to 2,675, 4,013.14 and 851 is: 1,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675 : 4,013.14 = 851 : x
  2. Step 2: Convert to fraction form
    2,675/4,013.14 = 851/x
  3. Step 3: Cross multiply
    2,675x = 4,013.14 × 851
  4. Step 4: Simplify right side
    2,675x = 3,415,182.14
  5. Step 5: Solve for x
    x = 3,415,182.14/2,675
  6. Step 6: Final answer
    x = 1,276.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.