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Finding the Fourth Proportional to 1,678.94, 2,513.80 and 1,266.83

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Solution

The fourth proportional to 1,678.94, 2,513.80 and 1,266.83 is: 1,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.94 : 2,513.80 = 1,266.83 : x
  2. Step 2: Convert to fraction form
    1,678.94/2,513.80 = 1,266.83/x
  3. Step 3: Cross multiply
    1,678.94x = 2,513.80 × 1,266.83
  4. Step 4: Simplify right side
    1,678.94x = 3,184,569.84
  5. Step 5: Solve for x
    x = 3,184,569.84/1,678.94
  6. Step 6: Final answer
    x = 1,896.77

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