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Finding the Fourth Proportional to 3,175.65, 4,381.70 and 1,996.29

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Solution

The fourth proportional to 3,175.65, 4,381.70 and 1,996.29 is: 2,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.65 : 4,381.70 = 1,996.29 : x
  2. Step 2: Convert to fraction form
    3,175.65/4,381.70 = 1,996.29/x
  3. Step 3: Cross multiply
    3,175.65x = 4,381.70 × 1,996.29
  4. Step 4: Simplify right side
    3,175.65x = 8,747,133.91
  5. Step 5: Solve for x
    x = 8,747,133.91/3,175.65
  6. Step 6: Final answer
    x = 2,754.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.