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Finding the Fourth Proportional to 2,643.20, 3,964.80 and 1,606.40

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Solution

The fourth proportional to 2,643.20, 3,964.80 and 1,606.40 is: 2,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.20 : 3,964.80 = 1,606.40 : x
  2. Step 2: Convert to fraction form
    2,643.20/3,964.80 = 1,606.40/x
  3. Step 3: Cross multiply
    2,643.20x = 3,964.80 × 1,606.40
  4. Step 4: Simplify right side
    2,643.20x = 6,369,054.72
  5. Step 5: Solve for x
    x = 6,369,054.72/2,643.20
  6. Step 6: Final answer
    x = 2,409.60

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