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Finding the Fourth Proportional to 3,186.65, 4,397.22 and 1,992.60

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Solution

The fourth proportional to 3,186.65, 4,397.22 and 1,992.60 is: 2,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.65 : 4,397.22 = 1,992.60 : x
  2. Step 2: Convert to fraction form
    3,186.65/4,397.22 = 1,992.60/x
  3. Step 3: Cross multiply
    3,186.65x = 4,397.22 × 1,992.60
  4. Step 4: Simplify right side
    3,186.65x = 8,761,900.57
  5. Step 5: Solve for x
    x = 8,761,900.57/3,186.65
  6. Step 6: Final answer
    x = 2,749.56

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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.