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Finding the Fourth Proportional to 2,067.36, 3,102.96 and 2,019.84

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Solution

The fourth proportional to 2,067.36, 3,102.96 and 2,019.84 is: 3,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.36 : 3,102.96 = 2,019.84 : x
  2. Step 2: Convert to fraction form
    2,067.36/3,102.96 = 2,019.84/x
  3. Step 3: Cross multiply
    2,067.36x = 3,102.96 × 2,019.84
  4. Step 4: Simplify right side
    2,067.36x = 6,267,482.73
  5. Step 5: Solve for x
    x = 6,267,482.73/2,067.36
  6. Step 6: Final answer
    x = 3,031.64

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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.