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Finding the Fourth Proportional to 2,978.80, 4,109.42 and 2,095.18

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Solution

The fourth proportional to 2,978.80, 4,109.42 and 2,095.18 is: 2,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.80 : 4,109.42 = 2,095.18 : x
  2. Step 2: Convert to fraction form
    2,978.80/4,109.42 = 2,095.18/x
  3. Step 3: Cross multiply
    2,978.80x = 4,109.42 × 2,095.18
  4. Step 4: Simplify right side
    2,978.80x = 8,609,974.60
  5. Step 5: Solve for x
    x = 8,609,974.60/2,978.80
  6. Step 6: Final answer
    x = 2,890.42

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