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Finding the Fourth Proportional to 3,047.20, 4,570.80 and 1,664.80

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Solution

The fourth proportional to 3,047.20, 4,570.80 and 1,664.80 is: 2,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.20 : 4,570.80 = 1,664.80 : x
  2. Step 2: Convert to fraction form
    3,047.20/4,570.80 = 1,664.80/x
  3. Step 3: Cross multiply
    3,047.20x = 4,570.80 × 1,664.80
  4. Step 4: Simplify right side
    3,047.20x = 7,609,467.84
  5. Step 5: Solve for x
    x = 7,609,467.84/3,047.20
  6. Step 6: Final answer
    x = 2,497.20

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