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Finding the Fourth Proportional to 2,686.74, 4,021.54 and 2,067.49

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Solution

The fourth proportional to 2,686.74, 4,021.54 and 2,067.49 is: 3,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.74 : 4,021.54 = 2,067.49 : x
  2. Step 2: Convert to fraction form
    2,686.74/4,021.54 = 2,067.49/x
  3. Step 3: Cross multiply
    2,686.74x = 4,021.54 × 2,067.49
  4. Step 4: Simplify right side
    2,686.74x = 8,314,493.73
  5. Step 5: Solve for x
    x = 8,314,493.73/2,686.74
  6. Step 6: Final answer
    x = 3,094.64

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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.