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Finding the Fourth Proportional to 2,881.76, 3,971.28 and 2,094.56

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Solution

The fourth proportional to 2,881.76, 3,971.28 and 2,094.56 is: 2,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.76 : 3,971.28 = 2,094.56 : x
  2. Step 2: Convert to fraction form
    2,881.76/3,971.28 = 2,094.56/x
  3. Step 3: Cross multiply
    2,881.76x = 3,971.28 × 2,094.56
  4. Step 4: Simplify right side
    2,881.76x = 8,318,084.24
  5. Step 5: Solve for x
    x = 8,318,084.24/2,881.76
  6. Step 6: Final answer
    x = 2,886.46

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