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Finding the Fourth Proportional to 1,538.22, 2,306.80 and 1,076.22

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Solution

The fourth proportional to 1,538.22, 2,306.80 and 1,076.22 is: 1,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.22 : 2,306.80 = 1,076.22 : x
  2. Step 2: Convert to fraction form
    1,538.22/2,306.80 = 1,076.22/x
  3. Step 3: Cross multiply
    1,538.22x = 2,306.80 × 1,076.22
  4. Step 4: Simplify right side
    1,538.22x = 2,482,624.30
  5. Step 5: Solve for x
    x = 2,482,624.30/1,538.22
  6. Step 6: Final answer
    x = 1,613.96

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