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Finding the Fourth Proportional to 2,549.70, 3,822.48 and 1,573.74

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Solution

The fourth proportional to 2,549.70, 3,822.48 and 1,573.74 is: 2,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.70 : 3,822.48 = 1,573.74 : x
  2. Step 2: Convert to fraction form
    2,549.70/3,822.48 = 1,573.74/x
  3. Step 3: Cross multiply
    2,549.70x = 3,822.48 × 1,573.74
  4. Step 4: Simplify right side
    2,549.70x = 6,015,589.68
  5. Step 5: Solve for x
    x = 6,015,589.68/2,549.70
  6. Step 6: Final answer
    x = 2,359.33

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