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Finding the Fourth Proportional to 1,783.82, 2,675.27 and 809.73

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Solution

The fourth proportional to 1,783.82, 2,675.27 and 809.73 is: 1,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.82 : 2,675.27 = 809.73 : x
  2. Step 2: Convert to fraction form
    1,783.82/2,675.27 = 809.73/x
  3. Step 3: Cross multiply
    1,783.82x = 2,675.27 × 809.73
  4. Step 4: Simplify right side
    1,783.82x = 2,166,242.33
  5. Step 5: Solve for x
    x = 2,166,242.33/1,783.82
  6. Step 6: Final answer
    x = 1,214.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.