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Finding the Fourth Proportional to 2,560.61, 3,533.68 and 1,664.70

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Solution

The fourth proportional to 2,560.61, 3,533.68 and 1,664.70 is: 2,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.61 : 3,533.68 = 1,664.70 : x
  2. Step 2: Convert to fraction form
    2,560.61/3,533.68 = 1,664.70/x
  3. Step 3: Cross multiply
    2,560.61x = 3,533.68 × 1,664.70
  4. Step 4: Simplify right side
    2,560.61x = 5,882,516.44
  5. Step 5: Solve for x
    x = 5,882,516.44/2,560.61
  6. Step 6: Final answer
    x = 2,297.31

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