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Finding the Fourth Proportional to 1,829.70, 2,745.45 and 1,390.80

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Solution

The fourth proportional to 1,829.70, 2,745.45 and 1,390.80 is: 2,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.70 : 2,745.45 = 1,390.80 : x
  2. Step 2: Convert to fraction form
    1,829.70/2,745.45 = 1,390.80/x
  3. Step 3: Cross multiply
    1,829.70x = 2,745.45 × 1,390.80
  4. Step 4: Simplify right side
    1,829.70x = 3,818,371.86
  5. Step 5: Solve for x
    x = 3,818,371.86/1,829.70
  6. Step 6: Final answer
    x = 2,086.88

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