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Finding the Fourth Proportional to 1,883.52, 2,824.80 and 1,577.28

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Solution

The fourth proportional to 1,883.52, 2,824.80 and 1,577.28 is: 2,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.52 : 2,824.80 = 1,577.28 : x
  2. Step 2: Convert to fraction form
    1,883.52/2,824.80 = 1,577.28/x
  3. Step 3: Cross multiply
    1,883.52x = 2,824.80 × 1,577.28
  4. Step 4: Simplify right side
    1,883.52x = 4,455,500.54
  5. Step 5: Solve for x
    x = 4,455,500.54/1,883.52
  6. Step 6: Final answer
    x = 2,365.52

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