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Finding the Fourth Proportional to 1,830.82, 2,744.90 and 856.38

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Solution

The fourth proportional to 1,830.82, 2,744.90 and 856.38 is: 1,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.82 : 2,744.90 = 856.38 : x
  2. Step 2: Convert to fraction form
    1,830.82/2,744.90 = 856.38/x
  3. Step 3: Cross multiply
    1,830.82x = 2,744.90 × 856.38
  4. Step 4: Simplify right side
    1,830.82x = 2,350,677.46
  5. Step 5: Solve for x
    x = 2,350,677.46/1,830.82
  6. Step 6: Final answer
    x = 1,283.95

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