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Finding the Fourth Proportional to 1,845.54, 2,767.44 and 674.73

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Solution

The fourth proportional to 1,845.54, 2,767.44 and 674.73 is: 1,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.54 : 2,767.44 = 674.73 : x
  2. Step 2: Convert to fraction form
    1,845.54/2,767.44 = 674.73/x
  3. Step 3: Cross multiply
    1,845.54x = 2,767.44 × 674.73
  4. Step 4: Simplify right side
    1,845.54x = 1,867,274.79
  5. Step 5: Solve for x
    x = 1,867,274.79/1,845.54
  6. Step 6: Final answer
    x = 1,011.78

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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.