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Finding the Fourth Proportional to 2,910.33, 4,016.22 and 1,584.03

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Solution

The fourth proportional to 2,910.33, 4,016.22 and 1,584.03 is: 2,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.33 : 4,016.22 = 1,584.03 : x
  2. Step 2: Convert to fraction form
    2,910.33/4,016.22 = 1,584.03/x
  3. Step 3: Cross multiply
    2,910.33x = 4,016.22 × 1,584.03
  4. Step 4: Simplify right side
    2,910.33x = 6,361,812.97
  5. Step 5: Solve for x
    x = 6,361,812.97/2,910.33
  6. Step 6: Final answer
    x = 2,185.94

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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.