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Finding the Fourth Proportional to 3,193.56, 4,409.34 and 1,999.02

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Solution

The fourth proportional to 3,193.56, 4,409.34 and 1,999.02 is: 2,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.56 : 4,409.34 = 1,999.02 : x
  2. Step 2: Convert to fraction form
    3,193.56/4,409.34 = 1,999.02/x
  3. Step 3: Cross multiply
    3,193.56x = 4,409.34 × 1,999.02
  4. Step 4: Simplify right side
    3,193.56x = 8,814,358.85
  5. Step 5: Solve for x
    x = 8,814,358.85/3,193.56
  6. Step 6: Final answer
    x = 2,760.04

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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.