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Finding the Fourth Proportional to 2,947.02, 4,067.97 and 1,952.62

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Solution

The fourth proportional to 2,947.02, 4,067.97 and 1,952.62 is: 2,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.02 : 4,067.97 = 1,952.62 : x
  2. Step 2: Convert to fraction form
    2,947.02/4,067.97 = 1,952.62/x
  3. Step 3: Cross multiply
    2,947.02x = 4,067.97 × 1,952.62
  4. Step 4: Simplify right side
    2,947.02x = 7,943,199.58
  5. Step 5: Solve for x
    x = 7,943,199.58/2,947.02
  6. Step 6: Final answer
    x = 2,695.33

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1.5x scale

Why These Related Problems?

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