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Finding the Fourth Proportional to 2,009.99, 3,012.89 and 968.42

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Solution

The fourth proportional to 2,009.99, 3,012.89 and 968.42 is: 1,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.99 : 3,012.89 = 968.42 : x
  2. Step 2: Convert to fraction form
    2,009.99/3,012.89 = 968.42/x
  3. Step 3: Cross multiply
    2,009.99x = 3,012.89 × 968.42
  4. Step 4: Simplify right side
    2,009.99x = 2,917,723.03
  5. Step 5: Solve for x
    x = 2,917,723.03/2,009.99
  6. Step 6: Final answer
    x = 1,451.61

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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.