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Finding the Fourth Proportional to 1,689.09, 2,532.79 and 1,022.65

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Solution

The fourth proportional to 1,689.09, 2,532.79 and 1,022.65 is: 1,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.09 : 2,532.79 = 1,022.65 : x
  2. Step 2: Convert to fraction form
    1,689.09/2,532.79 = 1,022.65/x
  3. Step 3: Cross multiply
    1,689.09x = 2,532.79 × 1,022.65
  4. Step 4: Simplify right side
    1,689.09x = 2,590,157.69
  5. Step 5: Solve for x
    x = 2,590,157.69/1,689.09
  6. Step 6: Final answer
    x = 1,533.46

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