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Finding the Fourth Proportional to 2,800.56, 3,864.84 and 1,541.64

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Solution

The fourth proportional to 2,800.56, 3,864.84 and 1,541.64 is: 2,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.56 : 3,864.84 = 1,541.64 : x
  2. Step 2: Convert to fraction form
    2,800.56/3,864.84 = 1,541.64/x
  3. Step 3: Cross multiply
    2,800.56x = 3,864.84 × 1,541.64
  4. Step 4: Simplify right side
    2,800.56x = 5,958,191.94
  5. Step 5: Solve for x
    x = 5,958,191.94/2,800.56
  6. Step 6: Final answer
    x = 2,127.50

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