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Finding the Fourth Proportional to 2,189.78, 3,281.02 and 1,539.36

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Solution

The fourth proportional to 2,189.78, 3,281.02 and 1,539.36 is: 2,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.78 : 3,281.02 = 1,539.36 : x
  2. Step 2: Convert to fraction form
    2,189.78/3,281.02 = 1,539.36/x
  3. Step 3: Cross multiply
    2,189.78x = 3,281.02 × 1,539.36
  4. Step 4: Simplify right side
    2,189.78x = 5,050,670.95
  5. Step 5: Solve for x
    x = 5,050,670.95/2,189.78
  6. Step 6: Final answer
    x = 2,306.47

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