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Finding the Fourth Proportional to 2,978.84, 4,105.14 and 2,905.94

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Solution

The fourth proportional to 2,978.84, 4,105.14 and 2,905.94 is: 4,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.84 : 4,105.14 = 2,905.94 : x
  2. Step 2: Convert to fraction form
    2,978.84/4,105.14 = 2,905.94/x
  3. Step 3: Cross multiply
    2,978.84x = 4,105.14 × 2,905.94
  4. Step 4: Simplify right side
    2,978.84x = 11,929,290.53
  5. Step 5: Solve for x
    x = 11,929,290.53/2,978.84
  6. Step 6: Final answer
    x = 4,004.68

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