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Finding the Fourth Proportional to 2,998.24, 4,493.04 and 2,134.24

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Solution

The fourth proportional to 2,998.24, 4,493.04 and 2,134.24 is: 3,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.24 : 4,493.04 = 2,134.24 : x
  2. Step 2: Convert to fraction form
    2,998.24/4,493.04 = 2,134.24/x
  3. Step 3: Cross multiply
    2,998.24x = 4,493.04 × 2,134.24
  4. Step 4: Simplify right side
    2,998.24x = 9,589,225.69
  5. Step 5: Solve for x
    x = 9,589,225.69/2,998.24
  6. Step 6: Final answer
    x = 3,198.28

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1.5x scale

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.