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Finding the Fourth Proportional to 1,978.98, 2,969.62 and 808.80

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Solution

The fourth proportional to 1,978.98, 2,969.62 and 808.80 is: 1,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.98 : 2,969.62 = 808.80 : x
  2. Step 2: Convert to fraction form
    1,978.98/2,969.62 = 808.80/x
  3. Step 3: Cross multiply
    1,978.98x = 2,969.62 × 808.80
  4. Step 4: Simplify right side
    1,978.98x = 2,401,828.66
  5. Step 5: Solve for x
    x = 2,401,828.66/1,978.98
  6. Step 6: Final answer
    x = 1,213.67

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