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Finding the Fourth Proportional to 1,996.29, 2,751.72 and 1,575.96

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Solution

The fourth proportional to 1,996.29, 2,751.72 and 1,575.96 is: 2,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.29 : 2,751.72 = 1,575.96 : x
  2. Step 2: Convert to fraction form
    1,996.29/2,751.72 = 1,575.96/x
  3. Step 3: Cross multiply
    1,996.29x = 2,751.72 × 1,575.96
  4. Step 4: Simplify right side
    1,996.29x = 4,336,600.65
  5. Step 5: Solve for x
    x = 4,336,600.65/1,996.29
  6. Step 6: Final answer
    x = 2,172.33

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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.