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Finding the Fourth Proportional to 1,911.92, 2,862.32 and 1,179.27

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Solution

The fourth proportional to 1,911.92, 2,862.32 and 1,179.27 is: 1,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.92 : 2,862.32 = 1,179.27 : x
  2. Step 2: Convert to fraction form
    1,911.92/2,862.32 = 1,179.27/x
  3. Step 3: Cross multiply
    1,911.92x = 2,862.32 × 1,179.27
  4. Step 4: Simplify right side
    1,911.92x = 3,375,442.21
  5. Step 5: Solve for x
    x = 3,375,442.21/1,911.92
  6. Step 6: Final answer
    x = 1,765.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.