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Finding the Fourth Proportional to 2,163.25, 3,245.93 and 1,341.30

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Solution

The fourth proportional to 2,163.25, 3,245.93 and 1,341.30 is: 2,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.25 : 3,245.93 = 1,341.30 : x
  2. Step 2: Convert to fraction form
    2,163.25/3,245.93 = 1,341.30/x
  3. Step 3: Cross multiply
    2,163.25x = 3,245.93 × 1,341.30
  4. Step 4: Simplify right side
    2,163.25x = 4,353,759.20
  5. Step 5: Solve for x
    x = 4,353,759.20/2,163.25
  6. Step 6: Final answer
    x = 2,012.61

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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.