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Finding the Fourth Proportional to 2,567.61, 3,853.23 and 2,319.75

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Solution

The fourth proportional to 2,567.61, 3,853.23 and 2,319.75 is: 3,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.61 : 3,853.23 = 2,319.75 : x
  2. Step 2: Convert to fraction form
    2,567.61/3,853.23 = 2,319.75/x
  3. Step 3: Cross multiply
    2,567.61x = 3,853.23 × 2,319.75
  4. Step 4: Simplify right side
    2,567.61x = 8,938,530.29
  5. Step 5: Solve for x
    x = 8,938,530.29/2,567.61
  6. Step 6: Final answer
    x = 3,481.26

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