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Finding the Fourth Proportional to 1,378.45, 2,067.64 and 338.42

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Solution

The fourth proportional to 1,378.45, 2,067.64 and 338.42 is: 507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.45 : 2,067.64 = 338.42 : x
  2. Step 2: Convert to fraction form
    1,378.45/2,067.64 = 338.42/x
  3. Step 3: Cross multiply
    1,378.45x = 2,067.64 × 338.42
  4. Step 4: Simplify right side
    1,378.45x = 699,730.73
  5. Step 5: Solve for x
    x = 699,730.73/1,378.45
  6. Step 6: Final answer
    x = 507.62

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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.