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Finding the Fourth Proportional to 2,164.09, 3,252.00 and 1,177.63

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Solution

The fourth proportional to 2,164.09, 3,252.00 and 1,177.63 is: 1,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.09 : 3,252.00 = 1,177.63 : x
  2. Step 2: Convert to fraction form
    2,164.09/3,252.00 = 1,177.63/x
  3. Step 3: Cross multiply
    2,164.09x = 3,252.00 × 1,177.63
  4. Step 4: Simplify right side
    2,164.09x = 3,829,657.40
  5. Step 5: Solve for x
    x = 3,829,657.40/2,164.09
  6. Step 6: Final answer
    x = 1,769.64

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