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Finding the Fourth Proportional to 2,755.59, 4,142.49 and 2,552.68

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Solution

The fourth proportional to 2,755.59, 4,142.49 and 2,552.68 is: 3,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.59 : 4,142.49 = 2,552.68 : x
  2. Step 2: Convert to fraction form
    2,755.59/4,142.49 = 2,552.68/x
  3. Step 3: Cross multiply
    2,755.59x = 4,142.49 × 2,552.68
  4. Step 4: Simplify right side
    2,755.59x = 10,574,451.37
  5. Step 5: Solve for x
    x = 10,574,451.37/2,755.59
  6. Step 6: Final answer
    x = 3,837.45

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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.