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Finding the Fourth Proportional to 2,877.76, 3,971.48 and 1,682.72

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Solution

The fourth proportional to 2,877.76, 3,971.48 and 1,682.72 is: 2,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.76 : 3,971.48 = 1,682.72 : x
  2. Step 2: Convert to fraction form
    2,877.76/3,971.48 = 1,682.72/x
  3. Step 3: Cross multiply
    2,877.76x = 3,971.48 × 1,682.72
  4. Step 4: Simplify right side
    2,877.76x = 6,682,888.83
  5. Step 5: Solve for x
    x = 6,682,888.83/2,877.76
  6. Step 6: Final answer
    x = 2,322.25

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