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Finding the Fourth Proportional to 2,563.68, 3,847.93 and 1,331.96

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Solution

The fourth proportional to 2,563.68, 3,847.93 and 1,331.96 is: 1,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.68 : 3,847.93 = 1,331.96 : x
  2. Step 2: Convert to fraction form
    2,563.68/3,847.93 = 1,331.96/x
  3. Step 3: Cross multiply
    2,563.68x = 3,847.93 × 1,331.96
  4. Step 4: Simplify right side
    2,563.68x = 5,125,295.13
  5. Step 5: Solve for x
    x = 5,125,295.13/2,563.68
  6. Step 6: Final answer
    x = 1,999.19

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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.