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Finding the Fourth Proportional to 1,419.06, 2,128.97 and 494.67

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Solution

The fourth proportional to 1,419.06, 2,128.97 and 494.67 is: 742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.06 : 2,128.97 = 494.67 : x
  2. Step 2: Convert to fraction form
    1,419.06/2,128.97 = 494.67/x
  3. Step 3: Cross multiply
    1,419.06x = 2,128.97 × 494.67
  4. Step 4: Simplify right side
    1,419.06x = 1,053,126.95
  5. Step 5: Solve for x
    x = 1,053,126.95/1,419.06
  6. Step 6: Final answer
    x = 742.13

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