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Finding the Fourth Proportional to 2,446.26, 3,375.84 and 1,327.23

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Solution

The fourth proportional to 2,446.26, 3,375.84 and 1,327.23 is: 1,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.26 : 3,375.84 = 1,327.23 : x
  2. Step 2: Convert to fraction form
    2,446.26/3,375.84 = 1,327.23/x
  3. Step 3: Cross multiply
    2,446.26x = 3,375.84 × 1,327.23
  4. Step 4: Simplify right side
    2,446.26x = 4,480,516.12
  5. Step 5: Solve for x
    x = 4,480,516.12/2,446.26
  6. Step 6: Final answer
    x = 1,831.58

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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.