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Finding the Fourth Proportional to 2,783.28, 3,840.88 and 1,541.28

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Solution

The fourth proportional to 2,783.28, 3,840.88 and 1,541.28 is: 2,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.28 : 3,840.88 = 1,541.28 : x
  2. Step 2: Convert to fraction form
    2,783.28/3,840.88 = 1,541.28/x
  3. Step 3: Cross multiply
    2,783.28x = 3,840.88 × 1,541.28
  4. Step 4: Simplify right side
    2,783.28x = 5,919,871.53
  5. Step 5: Solve for x
    x = 5,919,871.53/2,783.28
  6. Step 6: Final answer
    x = 2,126.94

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