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Finding the Fourth Proportional to 2,774.23, 3,826.68 and 2,109.62

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Solution

The fourth proportional to 2,774.23, 3,826.68 and 2,109.62 is: 2,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.23 : 3,826.68 = 2,109.62 : x
  2. Step 2: Convert to fraction form
    2,774.23/3,826.68 = 2,109.62/x
  3. Step 3: Cross multiply
    2,774.23x = 3,826.68 × 2,109.62
  4. Step 4: Simplify right side
    2,774.23x = 8,072,842.32
  5. Step 5: Solve for x
    x = 8,072,842.32/2,774.23
  6. Step 6: Final answer
    x = 2,909.94

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