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Finding the Fourth Proportional to 2,067.76, 2,855.84 and 2,040.52

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Solution

The fourth proportional to 2,067.76, 2,855.84 and 2,040.52 is: 2,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.76 : 2,855.84 = 2,040.52 : x
  2. Step 2: Convert to fraction form
    2,067.76/2,855.84 = 2,040.52/x
  3. Step 3: Cross multiply
    2,067.76x = 2,855.84 × 2,040.52
  4. Step 4: Simplify right side
    2,067.76x = 5,827,398.64
  5. Step 5: Solve for x
    x = 5,827,398.64/2,067.76
  6. Step 6: Final answer
    x = 2,818.22

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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.