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Finding the Fourth Proportional to 2,978.08, 4,460.82 and 1,881.88

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Solution

The fourth proportional to 2,978.08, 4,460.82 and 1,881.88 is: 2,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.08 : 4,460.82 = 1,881.88 : x
  2. Step 2: Convert to fraction form
    2,978.08/4,460.82 = 1,881.88/x
  3. Step 3: Cross multiply
    2,978.08x = 4,460.82 × 1,881.88
  4. Step 4: Simplify right side
    2,978.08x = 8,394,727.94
  5. Step 5: Solve for x
    x = 8,394,727.94/2,978.08
  6. Step 6: Final answer
    x = 2,818.84

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