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Finding the Fourth Proportional to 1,996.30, 2,994.46 and 609.65

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Solution

The fourth proportional to 1,996.30, 2,994.46 and 609.65 is: 914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.30 : 2,994.46 = 609.65 : x
  2. Step 2: Convert to fraction form
    1,996.30/2,994.46 = 609.65/x
  3. Step 3: Cross multiply
    1,996.30x = 2,994.46 × 609.65
  4. Step 4: Simplify right side
    1,996.30x = 1,825,572.54
  5. Step 5: Solve for x
    x = 1,825,572.54/1,996.30
  6. Step 6: Final answer
    x = 914.48

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