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Finding the Fourth Proportional to 1,406.99, 1,941.78 and 1,014.24

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Solution

The fourth proportional to 1,406.99, 1,941.78 and 1,014.24 is: 1,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.99 : 1,941.78 = 1,014.24 : x
  2. Step 2: Convert to fraction form
    1,406.99/1,941.78 = 1,014.24/x
  3. Step 3: Cross multiply
    1,406.99x = 1,941.78 × 1,014.24
  4. Step 4: Simplify right side
    1,406.99x = 1,969,430.95
  5. Step 5: Solve for x
    x = 1,969,430.95/1,406.99
  6. Step 6: Final answer
    x = 1,399.75

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