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Finding the Fourth Proportional to 3,204.22, 4,420.94 and 1,928.46

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Solution

The fourth proportional to 3,204.22, 4,420.94 and 1,928.46 is: 2,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.22 : 4,420.94 = 1,928.46 : x
  2. Step 2: Convert to fraction form
    3,204.22/4,420.94 = 1,928.46/x
  3. Step 3: Cross multiply
    3,204.22x = 4,420.94 × 1,928.46
  4. Step 4: Simplify right side
    3,204.22x = 8,525,605.95
  5. Step 5: Solve for x
    x = 8,525,605.95/3,204.22
  6. Step 6: Final answer
    x = 2,660.74

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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.