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Finding the Fourth Proportional to 1,770.18, 2,657.70 and 1,123.80

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Solution

The fourth proportional to 1,770.18, 2,657.70 and 1,123.80 is: 1,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.18 : 2,657.70 = 1,123.80 : x
  2. Step 2: Convert to fraction form
    1,770.18/2,657.70 = 1,123.80/x
  3. Step 3: Cross multiply
    1,770.18x = 2,657.70 × 1,123.80
  4. Step 4: Simplify right side
    1,770.18x = 2,986,723.26
  5. Step 5: Solve for x
    x = 2,986,723.26/1,770.18
  6. Step 6: Final answer
    x = 1,687.24

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