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Finding the Fourth Proportional to 2,375.75, 3,278.61 and 1,327.81

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Solution

The fourth proportional to 2,375.75, 3,278.61 and 1,327.81 is: 1,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.75 : 3,278.61 = 1,327.81 : x
  2. Step 2: Convert to fraction form
    2,375.75/3,278.61 = 1,327.81/x
  3. Step 3: Cross multiply
    2,375.75x = 3,278.61 × 1,327.81
  4. Step 4: Simplify right side
    2,375.75x = 4,353,371.14
  5. Step 5: Solve for x
    x = 4,353,371.14/2,375.75
  6. Step 6: Final answer
    x = 1,832.42

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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.