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Finding the Fourth Proportional to 2,627.11, 3,931.42 and 1,640.39

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Solution

The fourth proportional to 2,627.11, 3,931.42 and 1,640.39 is: 2,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.11 : 3,931.42 = 1,640.39 : x
  2. Step 2: Convert to fraction form
    2,627.11/3,931.42 = 1,640.39/x
  3. Step 3: Cross multiply
    2,627.11x = 3,931.42 × 1,640.39
  4. Step 4: Simplify right side
    2,627.11x = 6,449,062.05
  5. Step 5: Solve for x
    x = 6,449,062.05/2,627.11
  6. Step 6: Final answer
    x = 2,454.81

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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.