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Finding the Fourth Proportional to 2,936.21, 4,051.84 and 1,609.88

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Solution

The fourth proportional to 2,936.21, 4,051.84 and 1,609.88 is: 2,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.21 : 4,051.84 = 1,609.88 : x
  2. Step 2: Convert to fraction form
    2,936.21/4,051.84 = 1,609.88/x
  3. Step 3: Cross multiply
    2,936.21x = 4,051.84 × 1,609.88
  4. Step 4: Simplify right side
    2,936.21x = 6,522,976.18
  5. Step 5: Solve for x
    x = 6,522,976.18/2,936.21
  6. Step 6: Final answer
    x = 2,221.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.