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Finding the Fourth Proportional to 1,992.40, 2,749.11 and 1,293.37

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Solution

The fourth proportional to 1,992.40, 2,749.11 and 1,293.37 is: 1,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.40 : 2,749.11 = 1,293.37 : x
  2. Step 2: Convert to fraction form
    1,992.40/2,749.11 = 1,293.37/x
  3. Step 3: Cross multiply
    1,992.40x = 2,749.11 × 1,293.37
  4. Step 4: Simplify right side
    1,992.40x = 3,555,616.40
  5. Step 5: Solve for x
    x = 3,555,616.40/1,992.40
  6. Step 6: Final answer
    x = 1,784.59

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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.