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Finding the Fourth Proportional to 1,996.91, 2,994.59 and 609.81

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Solution

The fourth proportional to 1,996.91, 2,994.59 and 609.81 is: 914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.91 : 2,994.59 = 609.81 : x
  2. Step 2: Convert to fraction form
    1,996.91/2,994.59 = 609.81/x
  3. Step 3: Cross multiply
    1,996.91x = 2,994.59 × 609.81
  4. Step 4: Simplify right side
    1,996.91x = 1,826,127.88
  5. Step 5: Solve for x
    x = 1,826,127.88/1,996.91
  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.