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Finding the Fourth Proportional to 2,067.71, 3,084.64 and 2,011.21

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Solution

The fourth proportional to 2,067.71, 3,084.64 and 2,011.21 is: 3,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.71 : 3,084.64 = 2,011.21 : x
  2. Step 2: Convert to fraction form
    2,067.71/3,084.64 = 2,011.21/x
  3. Step 3: Cross multiply
    2,067.71x = 3,084.64 × 2,011.21
  4. Step 4: Simplify right side
    2,067.71x = 6,203,846.07
  5. Step 5: Solve for x
    x = 6,203,846.07/2,067.71
  6. Step 6: Final answer
    x = 3,000.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.