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Finding the Fourth Proportional to 2,399.48, 3,594.64 and 1,409.86

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Solution

The fourth proportional to 2,399.48, 3,594.64 and 1,409.86 is: 2,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.48 : 3,594.64 = 1,409.86 : x
  2. Step 2: Convert to fraction form
    2,399.48/3,594.64 = 1,409.86/x
  3. Step 3: Cross multiply
    2,399.48x = 3,594.64 × 1,409.86
  4. Step 4: Simplify right side
    2,399.48x = 5,067,939.15
  5. Step 5: Solve for x
    x = 5,067,939.15/2,399.48
  6. Step 6: Final answer
    x = 2,112.10

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