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Finding the Fourth Proportional to 2,229.92, 3,342.36 and 1,074.32

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Solution

The fourth proportional to 2,229.92, 3,342.36 and 1,074.32 is: 1,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.92 : 3,342.36 = 1,074.32 : x
  2. Step 2: Convert to fraction form
    2,229.92/3,342.36 = 1,074.32/x
  3. Step 3: Cross multiply
    2,229.92x = 3,342.36 × 1,074.32
  4. Step 4: Simplify right side
    2,229.92x = 3,590,764.20
  5. Step 5: Solve for x
    x = 3,590,764.20/2,229.92
  6. Step 6: Final answer
    x = 1,610.27

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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.