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Finding the Fourth Proportional to 2,451.73, 3,678.06 and 809.44

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Solution

The fourth proportional to 2,451.73, 3,678.06 and 809.44 is: 1,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.73 : 3,678.06 = 809.44 : x
  2. Step 2: Convert to fraction form
    2,451.73/3,678.06 = 809.44/x
  3. Step 3: Cross multiply
    2,451.73x = 3,678.06 × 809.44
  4. Step 4: Simplify right side
    2,451.73x = 2,977,168.89
  5. Step 5: Solve for x
    x = 2,977,168.89/2,451.73
  6. Step 6: Final answer
    x = 1,214.31

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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.