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Finding the Fourth Proportional to 1,900.64, 2,845.92 and 1,077.68

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Solution

The fourth proportional to 1,900.64, 2,845.92 and 1,077.68 is: 1,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.64 : 2,845.92 = 1,077.68 : x
  2. Step 2: Convert to fraction form
    1,900.64/2,845.92 = 1,077.68/x
  3. Step 3: Cross multiply
    1,900.64x = 2,845.92 × 1,077.68
  4. Step 4: Simplify right side
    1,900.64x = 3,066,991.07
  5. Step 5: Solve for x
    x = 3,066,991.07/1,900.64
  6. Step 6: Final answer
    x = 1,613.66

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