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Finding the Fourth Proportional to 3,137.53, 4,706.60 and 1,163.69

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Solution

The fourth proportional to 3,137.53, 4,706.60 and 1,163.69 is: 1,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.53 : 4,706.60 = 1,163.69 : x
  2. Step 2: Convert to fraction form
    3,137.53/4,706.60 = 1,163.69/x
  3. Step 3: Cross multiply
    3,137.53x = 4,706.60 × 1,163.69
  4. Step 4: Simplify right side
    3,137.53x = 5,477,023.35
  5. Step 5: Solve for x
    x = 5,477,023.35/3,137.53
  6. Step 6: Final answer
    x = 1,745.65

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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.