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Finding the Fourth Proportional to 1,304.08, 1,956.48 and 1,160.80

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Solution

The fourth proportional to 1,304.08, 1,956.48 and 1,160.80 is: 1,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.08 : 1,956.48 = 1,160.80 : x
  2. Step 2: Convert to fraction form
    1,304.08/1,956.48 = 1,160.80/x
  3. Step 3: Cross multiply
    1,304.08x = 1,956.48 × 1,160.80
  4. Step 4: Simplify right side
    1,304.08x = 2,271,081.98
  5. Step 5: Solve for x
    x = 2,271,081.98/1,304.08
  6. Step 6: Final answer
    x = 1,741.52

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