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Finding the Fourth Proportional to 1,769.63, 2,656.49 and 1,380.06

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Solution

The fourth proportional to 1,769.63, 2,656.49 and 1,380.06 is: 2,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.63 : 2,656.49 = 1,380.06 : x
  2. Step 2: Convert to fraction form
    1,769.63/2,656.49 = 1,380.06/x
  3. Step 3: Cross multiply
    1,769.63x = 2,656.49 × 1,380.06
  4. Step 4: Simplify right side
    1,769.63x = 3,666,108.69
  5. Step 5: Solve for x
    x = 3,666,108.69/1,769.63
  6. Step 6: Final answer
    x = 2,071.69

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