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Finding the Fourth Proportional to 2,093.60, 3,140.88 and 1,724.00

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Solution

The fourth proportional to 2,093.60, 3,140.88 and 1,724.00 is: 2,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.60 : 3,140.88 = 1,724.00 : x
  2. Step 2: Convert to fraction form
    2,093.60/3,140.88 = 1,724.00/x
  3. Step 3: Cross multiply
    2,093.60x = 3,140.88 × 1,724.00
  4. Step 4: Simplify right side
    2,093.60x = 5,414,861.42
  5. Step 5: Solve for x
    x = 5,414,861.42/2,093.60
  6. Step 6: Final answer
    x = 2,586.39

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