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Finding the Fourth Proportional to 2,655.72, 3,984.96 and 2,010.42

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Solution

The fourth proportional to 2,655.72, 3,984.96 and 2,010.42 is: 3,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.72 : 3,984.96 = 2,010.42 : x
  2. Step 2: Convert to fraction form
    2,655.72/3,984.96 = 2,010.42/x
  3. Step 3: Cross multiply
    2,655.72x = 3,984.96 × 2,010.42
  4. Step 4: Simplify right side
    2,655.72x = 8,011,443.28
  5. Step 5: Solve for x
    x = 8,011,443.28/2,655.72
  6. Step 6: Final answer
    x = 3,016.67

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