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Finding the Fourth Proportional to 2,843.73, 3,926.77 and 1,783.28

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Solution

The fourth proportional to 2,843.73, 3,926.77 and 1,783.28 is: 2,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.73 : 3,926.77 = 1,783.28 : x
  2. Step 2: Convert to fraction form
    2,843.73/3,926.77 = 1,783.28/x
  3. Step 3: Cross multiply
    2,843.73x = 3,926.77 × 1,783.28
  4. Step 4: Simplify right side
    2,843.73x = 7,002,501.86
  5. Step 5: Solve for x
    x = 7,002,501.86/2,843.73
  6. Step 6: Final answer
    x = 2,462.44

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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.