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Finding the Fourth Proportional to 1,933.78, 2,668.63 and 1,049.60

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Solution

The fourth proportional to 1,933.78, 2,668.63 and 1,049.60 is: 1,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.78 : 2,668.63 = 1,049.60 : x
  2. Step 2: Convert to fraction form
    1,933.78/2,668.63 = 1,049.60/x
  3. Step 3: Cross multiply
    1,933.78x = 2,668.63 × 1,049.60
  4. Step 4: Simplify right side
    1,933.78x = 2,800,994.05
  5. Step 5: Solve for x
    x = 2,800,994.05/1,933.78
  6. Step 6: Final answer
    x = 1,448.46

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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.