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Finding the Fourth Proportional to 1,827.81, 2,741.60 and 840.06

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Solution

The fourth proportional to 1,827.81, 2,741.60 and 840.06 is: 1,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.81 : 2,741.60 = 840.06 : x
  2. Step 2: Convert to fraction form
    1,827.81/2,741.60 = 840.06/x
  3. Step 3: Cross multiply
    1,827.81x = 2,741.60 × 840.06
  4. Step 4: Simplify right side
    1,827.81x = 2,303,104.30
  5. Step 5: Solve for x
    x = 2,303,104.30/1,827.81
  6. Step 6: Final answer
    x = 1,260.03

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