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Finding the Fourth Proportional to 1,407.94, 2,105.61 and 1,096.18

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Solution

The fourth proportional to 1,407.94, 2,105.61 and 1,096.18 is: 1,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.94 : 2,105.61 = 1,096.18 : x
  2. Step 2: Convert to fraction form
    1,407.94/2,105.61 = 1,096.18/x
  3. Step 3: Cross multiply
    1,407.94x = 2,105.61 × 1,096.18
  4. Step 4: Simplify right side
    1,407.94x = 2,308,127.57
  5. Step 5: Solve for x
    x = 2,308,127.57/1,407.94
  6. Step 6: Final answer
    x = 1,639.37

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