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Finding the Fourth Proportional to 2,112.33, 3,163.10 and 1,464.33

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Solution

The fourth proportional to 2,112.33, 3,163.10 and 1,464.33 is: 2,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.33 : 3,163.10 = 1,464.33 : x
  2. Step 2: Convert to fraction form
    2,112.33/3,163.10 = 1,464.33/x
  3. Step 3: Cross multiply
    2,112.33x = 3,163.10 × 1,464.33
  4. Step 4: Simplify right side
    2,112.33x = 4,631,814.90
  5. Step 5: Solve for x
    x = 4,631,814.90/2,112.33
  6. Step 6: Final answer
    x = 2,192.75

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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.