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Finding the Fourth Proportional to 1,935.78, 2,668.80 and 1,538.76

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Solution

The fourth proportional to 1,935.78, 2,668.80 and 1,538.76 is: 2,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.78 : 2,668.80 = 1,538.76 : x
  2. Step 2: Convert to fraction form
    1,935.78/2,668.80 = 1,538.76/x
  3. Step 3: Cross multiply
    1,935.78x = 2,668.80 × 1,538.76
  4. Step 4: Simplify right side
    1,935.78x = 4,106,649.81
  5. Step 5: Solve for x
    x = 4,106,649.81/1,935.78
  6. Step 6: Final answer
    x = 2,121.44

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