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Finding the Fourth Proportional to 3,453.32, 4,765.65 and 1,961.28

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Solution

The fourth proportional to 3,453.32, 4,765.65 and 1,961.28 is: 2,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.32 : 4,765.65 = 1,961.28 : x
  2. Step 2: Convert to fraction form
    3,453.32/4,765.65 = 1,961.28/x
  3. Step 3: Cross multiply
    3,453.32x = 4,765.65 × 1,961.28
  4. Step 4: Simplify right side
    3,453.32x = 9,346,766.68
  5. Step 5: Solve for x
    x = 9,346,766.68/3,453.32
  6. Step 6: Final answer
    x = 2,706.60

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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.