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Finding the Fourth Proportional to 2,008.02, 3,010.80 and 1,313.84

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Solution

The fourth proportional to 2,008.02, 3,010.80 and 1,313.84 is: 1,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.02 : 3,010.80 = 1,313.84 : x
  2. Step 2: Convert to fraction form
    2,008.02/3,010.80 = 1,313.84/x
  3. Step 3: Cross multiply
    2,008.02x = 3,010.80 × 1,313.84
  4. Step 4: Simplify right side
    2,008.02x = 3,955,709.47
  5. Step 5: Solve for x
    x = 3,955,709.47/2,008.02
  6. Step 6: Final answer
    x = 1,969.96

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