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Finding the Fourth Proportional to 3,182.74, 4,767.68 and 1,794

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Solution

The fourth proportional to 3,182.74, 4,767.68 and 1,794 is: 2,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.74 : 4,767.68 = 1,794 : x
  2. Step 2: Convert to fraction form
    3,182.74/4,767.68 = 1,794/x
  3. Step 3: Cross multiply
    3,182.74x = 4,767.68 × 1,794
  4. Step 4: Simplify right side
    3,182.74x = 8,553,217.92
  5. Step 5: Solve for x
    x = 8,553,217.92/3,182.74
  6. Step 6: Final answer
    x = 2,687.38

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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.