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Finding the Fourth Proportional to 1,406.03, 2,107.63 and 1,160.00

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Solution

The fourth proportional to 1,406.03, 2,107.63 and 1,160.00 is: 1,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.03 : 2,107.63 = 1,160.00 : x
  2. Step 2: Convert to fraction form
    1,406.03/2,107.63 = 1,160.00/x
  3. Step 3: Cross multiply
    1,406.03x = 2,107.63 × 1,160.00
  4. Step 4: Simplify right side
    1,406.03x = 2,444,837.36
  5. Step 5: Solve for x
    x = 2,444,837.36/1,406.03
  6. Step 6: Final answer
    x = 1,738.82

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