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Finding the Fourth Proportional to 2,485.62, 3,723.75 and 1,661.40

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Solution

The fourth proportional to 2,485.62, 3,723.75 and 1,661.40 is: 2,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.62 : 3,723.75 = 1,661.40 : x
  2. Step 2: Convert to fraction form
    2,485.62/3,723.75 = 1,661.40/x
  3. Step 3: Cross multiply
    2,485.62x = 3,723.75 × 1,661.40
  4. Step 4: Simplify right side
    2,485.62x = 6,186,638.25
  5. Step 5: Solve for x
    x = 6,186,638.25/2,485.62
  6. Step 6: Final answer
    x = 2,488.97

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