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Finding the Fourth Proportional to 1,709.80, 2,562.30 and 1,267.60

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Solution

The fourth proportional to 1,709.80, 2,562.30 and 1,267.60 is: 1,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.80 : 2,562.30 = 1,267.60 : x
  2. Step 2: Convert to fraction form
    1,709.80/2,562.30 = 1,267.60/x
  3. Step 3: Cross multiply
    1,709.80x = 2,562.30 × 1,267.60
  4. Step 4: Simplify right side
    1,709.80x = 3,247,971.48
  5. Step 5: Solve for x
    x = 3,247,971.48/1,709.80
  6. Step 6: Final answer
    x = 1,899.62

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