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Finding the Fourth Proportional to 2,755.09, 4,141.74 and 2,552.18

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Solution

The fourth proportional to 2,755.09, 4,141.74 and 2,552.18 is: 3,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.09 : 4,141.74 = 2,552.18 : x
  2. Step 2: Convert to fraction form
    2,755.09/4,141.74 = 2,552.18/x
  3. Step 3: Cross multiply
    2,755.09x = 4,141.74 × 2,552.18
  4. Step 4: Simplify right side
    2,755.09x = 10,570,465.99
  5. Step 5: Solve for x
    x = 10,570,465.99/2,755.09
  6. Step 6: Final answer
    x = 3,836.71

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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.