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Finding the Fourth Proportional to 1,770.68, 2,653.80 and 1,121.60

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Solution

The fourth proportional to 1,770.68, 2,653.80 and 1,121.60 is: 1,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.68 : 2,653.80 = 1,121.60 : x
  2. Step 2: Convert to fraction form
    1,770.68/2,653.80 = 1,121.60/x
  3. Step 3: Cross multiply
    1,770.68x = 2,653.80 × 1,121.60
  4. Step 4: Simplify right side
    1,770.68x = 2,976,502.08
  5. Step 5: Solve for x
    x = 2,976,502.08/1,770.68
  6. Step 6: Final answer
    x = 1,680.99

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