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Finding the Fourth Proportional to 2,255.64, 3,372.38 and 1,912.81

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Solution

The fourth proportional to 2,255.64, 3,372.38 and 1,912.81 is: 2,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.64 : 3,372.38 = 1,912.81 : x
  2. Step 2: Convert to fraction form
    2,255.64/3,372.38 = 1,912.81/x
  3. Step 3: Cross multiply
    2,255.64x = 3,372.38 × 1,912.81
  4. Step 4: Simplify right side
    2,255.64x = 6,450,712.62
  5. Step 5: Solve for x
    x = 6,450,712.62/2,255.64
  6. Step 6: Final answer
    x = 2,859.81

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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.