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Finding the Fourth Proportional to 2,936.32, 4,051.98 and 1,609.78

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Solution

The fourth proportional to 2,936.32, 4,051.98 and 1,609.78 is: 2,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.32 : 4,051.98 = 1,609.78 : x
  2. Step 2: Convert to fraction form
    2,936.32/4,051.98 = 1,609.78/x
  3. Step 3: Cross multiply
    2,936.32x = 4,051.98 × 1,609.78
  4. Step 4: Simplify right side
    2,936.32x = 6,522,796.36
  5. Step 5: Solve for x
    x = 6,522,796.36/2,936.32
  6. Step 6: Final answer
    x = 2,221.42

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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.