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Finding the Fourth Proportional to 2,847.72, 4,265.76 and 1,968

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Solution

The fourth proportional to 2,847.72, 4,265.76 and 1,968 is: 2,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.72 : 4,265.76 = 1,968 : x
  2. Step 2: Convert to fraction form
    2,847.72/4,265.76 = 1,968/x
  3. Step 3: Cross multiply
    2,847.72x = 4,265.76 × 1,968
  4. Step 4: Simplify right side
    2,847.72x = 8,395,015.68
  5. Step 5: Solve for x
    x = 8,395,015.68/2,847.72
  6. Step 6: Final answer
    x = 2,947.98

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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.