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Finding the Fourth Proportional to 1,645.62, 2,465.66 and 1,157.81

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Solution

The fourth proportional to 1,645.62, 2,465.66 and 1,157.81 is: 1,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.62 : 2,465.66 = 1,157.81 : x
  2. Step 2: Convert to fraction form
    1,645.62/2,465.66 = 1,157.81/x
  3. Step 3: Cross multiply
    1,645.62x = 2,465.66 × 1,157.81
  4. Step 4: Simplify right side
    1,645.62x = 2,854,747.69
  5. Step 5: Solve for x
    x = 2,854,747.69/1,645.62
  6. Step 6: Final answer
    x = 1,734.76

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