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Finding the Fourth Proportional to 1,698.40, 2,541.66 and 1,469.98

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Solution

The fourth proportional to 1,698.40, 2,541.66 and 1,469.98 is: 2,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.40 : 2,541.66 = 1,469.98 : x
  2. Step 2: Convert to fraction form
    1,698.40/2,541.66 = 1,469.98/x
  3. Step 3: Cross multiply
    1,698.40x = 2,541.66 × 1,469.98
  4. Step 4: Simplify right side
    1,698.40x = 3,736,189.37
  5. Step 5: Solve for x
    x = 3,736,189.37/1,698.40
  6. Step 6: Final answer
    x = 2,199.83

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