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Finding the Fourth Proportional to 2,724.60, 4,086.90 and 2,465.40

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Solution

The fourth proportional to 2,724.60, 4,086.90 and 2,465.40 is: 3,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.60 : 4,086.90 = 2,465.40 : x
  2. Step 2: Convert to fraction form
    2,724.60/4,086.90 = 2,465.40/x
  3. Step 3: Cross multiply
    2,724.60x = 4,086.90 × 2,465.40
  4. Step 4: Simplify right side
    2,724.60x = 10,075,843.26
  5. Step 5: Solve for x
    x = 10,075,843.26/2,724.60
  6. Step 6: Final answer
    x = 3,698.10

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