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Finding the Fourth Proportional to 3,451.97, 4,765.34 and 2,035.22

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Solution

The fourth proportional to 3,451.97, 4,765.34 and 2,035.22 is: 2,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.97 : 4,765.34 = 2,035.22 : x
  2. Step 2: Convert to fraction form
    3,451.97/4,765.34 = 2,035.22/x
  3. Step 3: Cross multiply
    3,451.97x = 4,765.34 × 2,035.22
  4. Step 4: Simplify right side
    3,451.97x = 9,698,496.54
  5. Step 5: Solve for x
    x = 9,698,496.54/3,451.97
  6. Step 6: Final answer
    x = 2,809.55

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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.