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Finding the Fourth Proportional to 3,056, 4,212.96 and 2,173.84

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Solution

The fourth proportional to 3,056, 4,212.96 and 2,173.84 is: 2,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056 : 4,212.96 = 2,173.84 : x
  2. Step 2: Convert to fraction form
    3,056/4,212.96 = 2,173.84/x
  3. Step 3: Cross multiply
    3,056x = 4,212.96 × 2,173.84
  4. Step 4: Simplify right side
    3,056x = 9,158,300.97
  5. Step 5: Solve for x
    x = 9,158,300.97/3,056
  6. Step 6: Final answer
    x = 2,996.83

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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.