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Finding the Fourth Proportional to 1,577.76, 2,364.24 and 1,268.16

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Solution

The fourth proportional to 1,577.76, 2,364.24 and 1,268.16 is: 1,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.76 : 2,364.24 = 1,268.16 : x
  2. Step 2: Convert to fraction form
    1,577.76/2,364.24 = 1,268.16/x
  3. Step 3: Cross multiply
    1,577.76x = 2,364.24 × 1,268.16
  4. Step 4: Simplify right side
    1,577.76x = 2,998,234.60
  5. Step 5: Solve for x
    x = 2,998,234.60/1,577.76
  6. Step 6: Final answer
    x = 1,900.31

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