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Finding the Fourth Proportional to 3,175.43, 4,761.97 and 1,094.86

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Solution

The fourth proportional to 3,175.43, 4,761.97 and 1,094.86 is: 1,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.43 : 4,761.97 = 1,094.86 : x
  2. Step 2: Convert to fraction form
    3,175.43/4,761.97 = 1,094.86/x
  3. Step 3: Cross multiply
    3,175.43x = 4,761.97 × 1,094.86
  4. Step 4: Simplify right side
    3,175.43x = 5,213,675.83
  5. Step 5: Solve for x
    x = 5,213,675.83/3,175.43
  6. Step 6: Final answer
    x = 1,641.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.