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Finding the Fourth Proportional to 1,992.69, 2,749.18 and 1,196.05

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Solution

The fourth proportional to 1,992.69, 2,749.18 and 1,196.05 is: 1,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.69 : 2,749.18 = 1,196.05 : x
  2. Step 2: Convert to fraction form
    1,992.69/2,749.18 = 1,196.05/x
  3. Step 3: Cross multiply
    1,992.69x = 2,749.18 × 1,196.05
  4. Step 4: Simplify right side
    1,992.69x = 3,288,156.74
  5. Step 5: Solve for x
    x = 3,288,156.74/1,992.69
  6. Step 6: Final answer
    x = 1,650.11

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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.