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Finding the Fourth Proportional to 2,742.67, 4,109.22 and 2,283.40

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Solution

The fourth proportional to 2,742.67, 4,109.22 and 2,283.40 is: 3,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.67 : 4,109.22 = 2,283.40 : x
  2. Step 2: Convert to fraction form
    2,742.67/4,109.22 = 2,283.40/x
  3. Step 3: Cross multiply
    2,742.67x = 4,109.22 × 2,283.40
  4. Step 4: Simplify right side
    2,742.67x = 9,382,992.95
  5. Step 5: Solve for x
    x = 9,382,992.95/2,742.67
  6. Step 6: Final answer
    x = 3,421.12

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