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Finding the Fourth Proportional to 1,992.06, 2,749.12 and 1,205.66

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Solution

The fourth proportional to 1,992.06, 2,749.12 and 1,205.66 is: 1,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.06 : 2,749.12 = 1,205.66 : x
  2. Step 2: Convert to fraction form
    1,992.06/2,749.12 = 1,205.66/x
  3. Step 3: Cross multiply
    1,992.06x = 2,749.12 × 1,205.66
  4. Step 4: Simplify right side
    1,992.06x = 3,314,504.02
  5. Step 5: Solve for x
    x = 3,314,504.02/1,992.06
  6. Step 6: Final answer
    x = 1,663.86

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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.