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Finding the Fourth Proportional to 2,552.55, 3,825.74 and 1,163.99

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Solution

The fourth proportional to 2,552.55, 3,825.74 and 1,163.99 is: 1,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.55 : 3,825.74 = 1,163.99 : x
  2. Step 2: Convert to fraction form
    2,552.55/3,825.74 = 1,163.99/x
  3. Step 3: Cross multiply
    2,552.55x = 3,825.74 × 1,163.99
  4. Step 4: Simplify right side
    2,552.55x = 4,453,098.15
  5. Step 5: Solve for x
    x = 4,453,098.15/2,552.55
  6. Step 6: Final answer
    x = 1,744.57

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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.