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Finding the Fourth Proportional to 1,905.64, 2,857.18 and 1,072.76

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Solution

The fourth proportional to 1,905.64, 2,857.18 and 1,072.76 is: 1,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.64 : 2,857.18 = 1,072.76 : x
  2. Step 2: Convert to fraction form
    1,905.64/2,857.18 = 1,072.76/x
  3. Step 3: Cross multiply
    1,905.64x = 2,857.18 × 1,072.76
  4. Step 4: Simplify right side
    1,905.64x = 3,065,068.42
  5. Step 5: Solve for x
    x = 3,065,068.42/1,905.64
  6. Step 6: Final answer
    x = 1,608.42

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