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Finding the Fourth Proportional to 1,504.74, 2,257.44 and 1,119.78

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Solution

The fourth proportional to 1,504.74, 2,257.44 and 1,119.78 is: 1,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.74 : 2,257.44 = 1,119.78 : x
  2. Step 2: Convert to fraction form
    1,504.74/2,257.44 = 1,119.78/x
  3. Step 3: Cross multiply
    1,504.74x = 2,257.44 × 1,119.78
  4. Step 4: Simplify right side
    1,504.74x = 2,527,836.16
  5. Step 5: Solve for x
    x = 2,527,836.16/1,504.74
  6. Step 6: Final answer
    x = 1,679.92

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