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Finding the Fourth Proportional to 3,175.74, 4,757.13 and 1,633.50

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Solution

The fourth proportional to 3,175.74, 4,757.13 and 1,633.50 is: 2,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.74 : 4,757.13 = 1,633.50 : x
  2. Step 2: Convert to fraction form
    3,175.74/4,757.13 = 1,633.50/x
  3. Step 3: Cross multiply
    3,175.74x = 4,757.13 × 1,633.50
  4. Step 4: Simplify right side
    3,175.74x = 7,770,771.86
  5. Step 5: Solve for x
    x = 7,770,771.86/3,175.74
  6. Step 6: Final answer
    x = 2,446.92

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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.