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Finding the Fourth Proportional to 1,419.16, 2,128.84 and 494.62

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Solution

The fourth proportional to 1,419.16, 2,128.84 and 494.62 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.16 : 2,128.84 = 494.62 : x
  2. Step 2: Convert to fraction form
    1,419.16/2,128.84 = 494.62/x
  3. Step 3: Cross multiply
    1,419.16x = 2,128.84 × 494.62
  4. Step 4: Simplify right side
    1,419.16x = 1,052,966.84
  5. Step 5: Solve for x
    x = 1,052,966.84/1,419.16
  6. Step 6: Final answer
    x = 741.96

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