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Finding the Fourth Proportional to 2,877.81, 3,971.78 and 1,683.15

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Solution

The fourth proportional to 2,877.81, 3,971.78 and 1,683.15 is: 2,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.81 : 3,971.78 = 1,683.15 : x
  2. Step 2: Convert to fraction form
    2,877.81/3,971.78 = 1,683.15/x
  3. Step 3: Cross multiply
    2,877.81x = 3,971.78 × 1,683.15
  4. Step 4: Simplify right side
    2,877.81x = 6,685,093.09
  5. Step 5: Solve for x
    x = 6,685,093.09/2,877.81
  6. Step 6: Final answer
    x = 2,322.98

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