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Finding the Fourth Proportional to 3,394.44, 4,685.34 and 1,978.46

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Solution

The fourth proportional to 3,394.44, 4,685.34 and 1,978.46 is: 2,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.44 : 4,685.34 = 1,978.46 : x
  2. Step 2: Convert to fraction form
    3,394.44/4,685.34 = 1,978.46/x
  3. Step 3: Cross multiply
    3,394.44x = 4,685.34 × 1,978.46
  4. Step 4: Simplify right side
    3,394.44x = 9,269,759.34
  5. Step 5: Solve for x
    x = 9,269,759.34/3,394.44
  6. Step 6: Final answer
    x = 2,730.87

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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.