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Finding the Fourth Proportional to 2,654.86, 3,664.56 and 1,607.80

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Solution

The fourth proportional to 2,654.86, 3,664.56 and 1,607.80 is: 2,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.86 : 3,664.56 = 1,607.80 : x
  2. Step 2: Convert to fraction form
    2,654.86/3,664.56 = 1,607.80/x
  3. Step 3: Cross multiply
    2,654.86x = 3,664.56 × 1,607.80
  4. Step 4: Simplify right side
    2,654.86x = 5,891,879.57
  5. Step 5: Solve for x
    x = 5,891,879.57/2,654.86
  6. Step 6: Final answer
    x = 2,219.28

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