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Finding the Fourth Proportional to 2,944.24, 4,415.52 and 996

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Solution

The fourth proportional to 2,944.24, 4,415.52 and 996 is: 1,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.24 : 4,415.52 = 996 : x
  2. Step 2: Convert to fraction form
    2,944.24/4,415.52 = 996/x
  3. Step 3: Cross multiply
    2,944.24x = 4,415.52 × 996
  4. Step 4: Simplify right side
    2,944.24x = 4,397,857.92
  5. Step 5: Solve for x
    x = 4,397,857.92/2,944.24
  6. Step 6: Final answer
    x = 1,493.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.