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Finding the Fourth Proportional to 1,742.29, 2,611.60 and 919.73

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Solution

The fourth proportional to 1,742.29, 2,611.60 and 919.73 is: 1,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.29 : 2,611.60 = 919.73 : x
  2. Step 2: Convert to fraction form
    1,742.29/2,611.60 = 919.73/x
  3. Step 3: Cross multiply
    1,742.29x = 2,611.60 × 919.73
  4. Step 4: Simplify right side
    1,742.29x = 2,401,966.87
  5. Step 5: Solve for x
    x = 2,401,966.87/1,742.29
  6. Step 6: Final answer
    x = 1,378.63

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