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Finding the Fourth Proportional to 1,566.80, 2,157.81 and 1,532.78

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Solution

The fourth proportional to 1,566.80, 2,157.81 and 1,532.78 is: 2,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.80 : 2,157.81 = 1,532.78 : x
  2. Step 2: Convert to fraction form
    1,566.80/2,157.81 = 1,532.78/x
  3. Step 3: Cross multiply
    1,566.80x = 2,157.81 × 1,532.78
  4. Step 4: Simplify right side
    1,566.80x = 3,307,448.01
  5. Step 5: Solve for x
    x = 3,307,448.01/1,566.80
  6. Step 6: Final answer
    x = 2,110.96

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