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Finding the Fourth Proportional to 1,467.56, 2,201.82 and 1,056.36

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Solution

The fourth proportional to 1,467.56, 2,201.82 and 1,056.36 is: 1,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.56 : 2,201.82 = 1,056.36 : x
  2. Step 2: Convert to fraction form
    1,467.56/2,201.82 = 1,056.36/x
  3. Step 3: Cross multiply
    1,467.56x = 2,201.82 × 1,056.36
  4. Step 4: Simplify right side
    1,467.56x = 2,325,914.58
  5. Step 5: Solve for x
    x = 2,325,914.58/1,467.56
  6. Step 6: Final answer
    x = 1,584.89

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