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Finding the Fourth Proportional to 1,934.87, 2,668.75 and 1,189.24

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Solution

The fourth proportional to 1,934.87, 2,668.75 and 1,189.24 is: 1,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.87 : 2,668.75 = 1,189.24 : x
  2. Step 2: Convert to fraction form
    1,934.87/2,668.75 = 1,189.24/x
  3. Step 3: Cross multiply
    1,934.87x = 2,668.75 × 1,189.24
  4. Step 4: Simplify right side
    1,934.87x = 3,173,789.62
  5. Step 5: Solve for x
    x = 3,173,789.62/1,934.87
  6. Step 6: Final answer
    x = 1,640.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.