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Finding the Fourth Proportional to 1,288.24, 1,935.93 and 1,256.98

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Solution

The fourth proportional to 1,288.24, 1,935.93 and 1,256.98 is: 1,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.24 : 1,935.93 = 1,256.98 : x
  2. Step 2: Convert to fraction form
    1,288.24/1,935.93 = 1,256.98/x
  3. Step 3: Cross multiply
    1,288.24x = 1,935.93 × 1,256.98
  4. Step 4: Simplify right side
    1,288.24x = 2,433,425.29
  5. Step 5: Solve for x
    x = 2,433,425.29/1,288.24
  6. Step 6: Final answer
    x = 1,888.95

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