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Finding the Fourth Proportional to 1,834.15, 2,751.20 and 447.49

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Solution

The fourth proportional to 1,834.15, 2,751.20 and 447.49 is: 671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.15 : 2,751.20 = 447.49 : x
  2. Step 2: Convert to fraction form
    1,834.15/2,751.20 = 447.49/x
  3. Step 3: Cross multiply
    1,834.15x = 2,751.20 × 447.49
  4. Step 4: Simplify right side
    1,834.15x = 1,231,134.49
  5. Step 5: Solve for x
    x = 1,231,134.49/1,834.15
  6. Step 6: Final answer
    x = 671.23

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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.