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Finding the Fourth Proportional to 3,194.79, 4,409.42 and 1,999.95

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Solution

The fourth proportional to 3,194.79, 4,409.42 and 1,999.95 is: 2,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.79 : 4,409.42 = 1,999.95 : x
  2. Step 2: Convert to fraction form
    3,194.79/4,409.42 = 1,999.95/x
  3. Step 3: Cross multiply
    3,194.79x = 4,409.42 × 1,999.95
  4. Step 4: Simplify right side
    3,194.79x = 8,818,609.53
  5. Step 5: Solve for x
    x = 8,818,609.53/3,194.79
  6. Step 6: Final answer
    x = 2,760.31

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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.