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Finding the Fourth Proportional to 2,713.63, 4,067.60 and 1,253.74

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Solution

The fourth proportional to 2,713.63, 4,067.60 and 1,253.74 is: 1,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.63 : 4,067.60 = 1,253.74 : x
  2. Step 2: Convert to fraction form
    2,713.63/4,067.60 = 1,253.74/x
  3. Step 3: Cross multiply
    2,713.63x = 4,067.60 × 1,253.74
  4. Step 4: Simplify right side
    2,713.63x = 5,099,692.49
  5. Step 5: Solve for x
    x = 5,099,692.49/2,713.63
  6. Step 6: Final answer
    x = 1,879.29

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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.