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Finding the Fourth Proportional to 1,709.03, 2,564.80 and 1,606.97

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Solution

The fourth proportional to 1,709.03, 2,564.80 and 1,606.97 is: 2,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.03 : 2,564.80 = 1,606.97 : x
  2. Step 2: Convert to fraction form
    1,709.03/2,564.80 = 1,606.97/x
  3. Step 3: Cross multiply
    1,709.03x = 2,564.80 × 1,606.97
  4. Step 4: Simplify right side
    1,709.03x = 4,121,559.05
  5. Step 5: Solve for x
    x = 4,121,559.05/1,709.03
  6. Step 6: Final answer
    x = 2,411.63

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