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Finding the Fourth Proportional to 3,224.35, 4,449.65 and 1,965.45

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Solution

The fourth proportional to 3,224.35, 4,449.65 and 1,965.45 is: 2,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.35 : 4,449.65 = 1,965.45 : x
  2. Step 2: Convert to fraction form
    3,224.35/4,449.65 = 1,965.45/x
  3. Step 3: Cross multiply
    3,224.35x = 4,449.65 × 1,965.45
  4. Step 4: Simplify right side
    3,224.35x = 8,745,564.59
  5. Step 5: Solve for x
    x = 8,745,564.59/3,224.35
  6. Step 6: Final answer
    x = 2,712.35

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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.