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Finding the Fourth Proportional to 2,946.92, 4,067.32 and 1,952.24

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Solution

The fourth proportional to 2,946.92, 4,067.32 and 1,952.24 is: 2,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.92 : 4,067.32 = 1,952.24 : x
  2. Step 2: Convert to fraction form
    2,946.92/4,067.32 = 1,952.24/x
  3. Step 3: Cross multiply
    2,946.92x = 4,067.32 × 1,952.24
  4. Step 4: Simplify right side
    2,946.92x = 7,940,384.80
  5. Step 5: Solve for x
    x = 7,940,384.80/2,946.92
  6. Step 6: Final answer
    x = 2,694.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.