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Finding the Fourth Proportional to 1,980.57, 2,975.48 and 1,159.43

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Solution

The fourth proportional to 1,980.57, 2,975.48 and 1,159.43 is: 1,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.57 : 2,975.48 = 1,159.43 : x
  2. Step 2: Convert to fraction form
    1,980.57/2,975.48 = 1,159.43/x
  3. Step 3: Cross multiply
    1,980.57x = 2,975.48 × 1,159.43
  4. Step 4: Simplify right side
    1,980.57x = 3,449,840.10
  5. Step 5: Solve for x
    x = 3,449,840.10/1,980.57
  6. Step 6: Final answer
    x = 1,741.84

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