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Finding the Fourth Proportional to 1,992.51, 2,749.68 and 1,195.88

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Solution

The fourth proportional to 1,992.51, 2,749.68 and 1,195.88 is: 1,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.51 : 2,749.68 = 1,195.88 : x
  2. Step 2: Convert to fraction form
    1,992.51/2,749.68 = 1,195.88/x
  3. Step 3: Cross multiply
    1,992.51x = 2,749.68 × 1,195.88
  4. Step 4: Simplify right side
    1,992.51x = 3,288,273.57
  5. Step 5: Solve for x
    x = 3,288,273.57/1,992.51
  6. Step 6: Final answer
    x = 1,650.32

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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.