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Finding the Fourth Proportional to 2,321.92, 3,483.52 and 2,067.20

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Solution

The fourth proportional to 2,321.92, 3,483.52 and 2,067.20 is: 3,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.92 : 3,483.52 = 2,067.20 : x
  2. Step 2: Convert to fraction form
    2,321.92/3,483.52 = 2,067.20/x
  3. Step 3: Cross multiply
    2,321.92x = 3,483.52 × 2,067.20
  4. Step 4: Simplify right side
    2,321.92x = 7,201,132.54
  5. Step 5: Solve for x
    x = 7,201,132.54/2,321.92
  6. Step 6: Final answer
    x = 3,101.37

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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.