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Finding the Fourth Proportional to 2,322.45, 3,205.26 and 1,327.86

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Solution

The fourth proportional to 2,322.45, 3,205.26 and 1,327.86 is: 1,832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.45 : 3,205.26 = 1,327.86 : x
  2. Step 2: Convert to fraction form
    2,322.45/3,205.26 = 1,327.86/x
  3. Step 3: Cross multiply
    2,322.45x = 3,205.26 × 1,327.86
  4. Step 4: Simplify right side
    2,322.45x = 4,256,136.54
  5. Step 5: Solve for x
    x = 4,256,136.54/2,322.45
  6. Step 6: Final answer
    x = 1,832.61

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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.