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Finding the Fourth Proportional to 1,690.80, 2,534.76 and 1,178.16

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Solution

The fourth proportional to 1,690.80, 2,534.76 and 1,178.16 is: 1,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.80 : 2,534.76 = 1,178.16 : x
  2. Step 2: Convert to fraction form
    1,690.80/2,534.76 = 1,178.16/x
  3. Step 3: Cross multiply
    1,690.80x = 2,534.76 × 1,178.16
  4. Step 4: Simplify right side
    1,690.80x = 2,986,352.84
  5. Step 5: Solve for x
    x = 2,986,352.84/1,690.80
  6. Step 6: Final answer
    x = 1,766.24

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