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Finding the Fourth Proportional to 1,659.28, 2,486.64 and 1,596.16

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Solution

The fourth proportional to 1,659.28, 2,486.64 and 1,596.16 is: 2,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.28 : 2,486.64 = 1,596.16 : x
  2. Step 2: Convert to fraction form
    1,659.28/2,486.64 = 1,596.16/x
  3. Step 3: Cross multiply
    1,659.28x = 2,486.64 × 1,596.16
  4. Step 4: Simplify right side
    1,659.28x = 3,969,075.30
  5. Step 5: Solve for x
    x = 3,969,075.30/1,659.28
  6. Step 6: Final answer
    x = 2,392.05

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