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Finding the Fourth Proportional to 2,118.48, 3,174.93 and 1,899.78

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Solution

The fourth proportional to 2,118.48, 3,174.93 and 1,899.78 is: 2,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.48 : 3,174.93 = 1,899.78 : x
  2. Step 2: Convert to fraction form
    2,118.48/3,174.93 = 1,899.78/x
  3. Step 3: Cross multiply
    2,118.48x = 3,174.93 × 1,899.78
  4. Step 4: Simplify right side
    2,118.48x = 6,031,668.52
  5. Step 5: Solve for x
    x = 6,031,668.52/2,118.48
  6. Step 6: Final answer
    x = 2,847.17

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