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Finding the Fourth Proportional to 1,886.36, 2,834.66 and 1,009.46

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Solution

The fourth proportional to 1,886.36, 2,834.66 and 1,009.46 is: 1,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.36 : 2,834.66 = 1,009.46 : x
  2. Step 2: Convert to fraction form
    1,886.36/2,834.66 = 1,009.46/x
  3. Step 3: Cross multiply
    1,886.36x = 2,834.66 × 1,009.46
  4. Step 4: Simplify right side
    1,886.36x = 2,861,485.49
  5. Step 5: Solve for x
    x = 2,861,485.49/1,886.36
  6. Step 6: Final answer
    x = 1,516.94

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