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Finding the Fourth Proportional to 1,933.65, 2,668.42 and 1,049.46

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Solution

The fourth proportional to 1,933.65, 2,668.42 and 1,049.46 is: 1,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.65 : 2,668.42 = 1,049.46 : x
  2. Step 2: Convert to fraction form
    1,933.65/2,668.42 = 1,049.46/x
  3. Step 3: Cross multiply
    1,933.65x = 2,668.42 × 1,049.46
  4. Step 4: Simplify right side
    1,933.65x = 2,800,388.41
  5. Step 5: Solve for x
    x = 2,800,388.41/1,933.65
  6. Step 6: Final answer
    x = 1,448.24

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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.