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Finding the Fourth Proportional to 1,989.52, 2,984.76 and 1,405.66

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Solution

The fourth proportional to 1,989.52, 2,984.76 and 1,405.66 is: 2,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.52 : 2,984.76 = 1,405.66 : x
  2. Step 2: Convert to fraction form
    1,989.52/2,984.76 = 1,405.66/x
  3. Step 3: Cross multiply
    1,989.52x = 2,984.76 × 1,405.66
  4. Step 4: Simplify right side
    1,989.52x = 4,195,557.74
  5. Step 5: Solve for x
    x = 4,195,557.74/1,989.52
  6. Step 6: Final answer
    x = 2,108.83

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