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Finding the Fourth Proportional to 2,258.68, 3,383.83 and 1,163.71

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Solution

The fourth proportional to 2,258.68, 3,383.83 and 1,163.71 is: 1,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.68 : 3,383.83 = 1,163.71 : x
  2. Step 2: Convert to fraction form
    2,258.68/3,383.83 = 1,163.71/x
  3. Step 3: Cross multiply
    2,258.68x = 3,383.83 × 1,163.71
  4. Step 4: Simplify right side
    2,258.68x = 3,937,796.81
  5. Step 5: Solve for x
    x = 3,937,796.81/2,258.68
  6. Step 6: Final answer
    x = 1,743.41

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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.