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Finding the Fourth Proportional to 1,992.43, 2,749.01 and 1,195.54

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Solution

The fourth proportional to 1,992.43, 2,749.01 and 1,195.54 is: 1,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.43 : 2,749.01 = 1,195.54 : x
  2. Step 2: Convert to fraction form
    1,992.43/2,749.01 = 1,195.54/x
  3. Step 3: Cross multiply
    1,992.43x = 2,749.01 × 1,195.54
  4. Step 4: Simplify right side
    1,992.43x = 3,286,554.03
  5. Step 5: Solve for x
    x = 3,286,554.03/1,992.43
  6. Step 6: Final answer
    x = 1,649.52

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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.