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Finding the Fourth Proportional to 1,945.62, 2,684.88 and 1,159.50

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Solution

The fourth proportional to 1,945.62, 2,684.88 and 1,159.50 is: 1,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.62 : 2,684.88 = 1,159.50 : x
  2. Step 2: Convert to fraction form
    1,945.62/2,684.88 = 1,159.50/x
  3. Step 3: Cross multiply
    1,945.62x = 2,684.88 × 1,159.50
  4. Step 4: Simplify right side
    1,945.62x = 3,113,118.36
  5. Step 5: Solve for x
    x = 3,113,118.36/1,945.62
  6. Step 6: Final answer
    x = 1,600.06

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