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Finding the Fourth Proportional to 1,313.64, 1,968.66 and 1,023.72

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Solution

The fourth proportional to 1,313.64, 1,968.66 and 1,023.72 is: 1,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.64 : 1,968.66 = 1,023.72 : x
  2. Step 2: Convert to fraction form
    1,313.64/1,968.66 = 1,023.72/x
  3. Step 3: Cross multiply
    1,313.64x = 1,968.66 × 1,023.72
  4. Step 4: Simplify right side
    1,313.64x = 2,015,356.62
  5. Step 5: Solve for x
    x = 2,015,356.62/1,313.64
  6. Step 6: Final answer
    x = 1,534.18

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