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Finding the Fourth Proportional to 2,322.75, 3,205.35 and 1,327.98

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Solution

The fourth proportional to 2,322.75, 3,205.35 and 1,327.98 is: 1,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.75 : 3,205.35 = 1,327.98 : x
  2. Step 2: Convert to fraction form
    2,322.75/3,205.35 = 1,327.98/x
  3. Step 3: Cross multiply
    2,322.75x = 3,205.35 × 1,327.98
  4. Step 4: Simplify right side
    2,322.75x = 4,256,640.69
  5. Step 5: Solve for x
    x = 4,256,640.69/2,322.75
  6. Step 6: Final answer
    x = 1,832.59

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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.