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Finding the Fourth Proportional to 1,989.86, 2,985.27 and 1,406.00

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Solution

The fourth proportional to 1,989.86, 2,985.27 and 1,406.00 is: 2,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.86 : 2,985.27 = 1,406.00 : x
  2. Step 2: Convert to fraction form
    1,989.86/2,985.27 = 1,406.00/x
  3. Step 3: Cross multiply
    1,989.86x = 2,985.27 × 1,406.00
  4. Step 4: Simplify right side
    1,989.86x = 4,197,274.69
  5. Step 5: Solve for x
    x = 4,197,274.69/1,989.86
  6. Step 6: Final answer
    x = 2,109.34

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