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Finding the Fourth Proportional to 2,881.94, 3,977.44 and 2,222.48

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Solution

The fourth proportional to 2,881.94, 3,977.44 and 2,222.48 is: 3,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.94 : 3,977.44 = 2,222.48 : x
  2. Step 2: Convert to fraction form
    2,881.94/3,977.44 = 2,222.48/x
  3. Step 3: Cross multiply
    2,881.94x = 3,977.44 × 2,222.48
  4. Step 4: Simplify right side
    2,881.94x = 8,839,785.24
  5. Step 5: Solve for x
    x = 8,839,785.24/2,881.94
  6. Step 6: Final answer
    x = 3,067.31

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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.