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Finding the Fourth Proportional to 1,349.66, 2,023.14 and 1,163.81

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Solution

The fourth proportional to 1,349.66, 2,023.14 and 1,163.81 is: 1,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.66 : 2,023.14 = 1,163.81 : x
  2. Step 2: Convert to fraction form
    1,349.66/2,023.14 = 1,163.81/x
  3. Step 3: Cross multiply
    1,349.66x = 2,023.14 × 1,163.81
  4. Step 4: Simplify right side
    1,349.66x = 2,354,550.56
  5. Step 5: Solve for x
    x = 2,354,550.56/1,349.66
  6. Step 6: Final answer
    x = 1,744.55

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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.