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Finding the Fourth Proportional to 3,292.32, 4,544.82 and 1,965.84

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Solution

The fourth proportional to 3,292.32, 4,544.82 and 1,965.84 is: 2,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.32 : 4,544.82 = 1,965.84 : x
  2. Step 2: Convert to fraction form
    3,292.32/4,544.82 = 1,965.84/x
  3. Step 3: Cross multiply
    3,292.32x = 4,544.82 × 1,965.84
  4. Step 4: Simplify right side
    3,292.32x = 8,934,388.95
  5. Step 5: Solve for x
    x = 8,934,388.95/3,292.32
  6. Step 6: Final answer
    x = 2,713.71

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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.