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Finding the Fourth Proportional to 1,919.83, 2,649.50 and 1,658.47

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Solution

The fourth proportional to 1,919.83, 2,649.50 and 1,658.47 is: 2,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.83 : 2,649.50 = 1,658.47 : x
  2. Step 2: Convert to fraction form
    1,919.83/2,649.50 = 1,658.47/x
  3. Step 3: Cross multiply
    1,919.83x = 2,649.50 × 1,658.47
  4. Step 4: Simplify right side
    1,919.83x = 4,394,116.27
  5. Step 5: Solve for x
    x = 4,394,116.27/1,919.83
  6. Step 6: Final answer
    x = 2,288.80

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