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Finding the Fourth Proportional to 3,194.94, 4,407.57 and 2,309.34

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Solution

The fourth proportional to 3,194.94, 4,407.57 and 2,309.34 is: 3,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.94 : 4,407.57 = 2,309.34 : x
  2. Step 2: Convert to fraction form
    3,194.94/4,407.57 = 2,309.34/x
  3. Step 3: Cross multiply
    3,194.94x = 4,407.57 × 2,309.34
  4. Step 4: Simplify right side
    3,194.94x = 10,178,577.70
  5. Step 5: Solve for x
    x = 10,178,577.70/3,194.94
  6. Step 6: Final answer
    x = 3,185.84

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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.