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Finding the Fourth Proportional to 2,067.08, 2,853.02 and 1,310.37

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Solution

The fourth proportional to 2,067.08, 2,853.02 and 1,310.37 is: 1,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.08 : 2,853.02 = 1,310.37 : x
  2. Step 2: Convert to fraction form
    2,067.08/2,853.02 = 1,310.37/x
  3. Step 3: Cross multiply
    2,067.08x = 2,853.02 × 1,310.37
  4. Step 4: Simplify right side
    2,067.08x = 3,738,505.27
  5. Step 5: Solve for x
    x = 3,738,505.27/2,067.08
  6. Step 6: Final answer
    x = 1,808.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.