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Finding the Fourth Proportional to 2,965.26, 4,449.28 and 1,321.64

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Solution

The fourth proportional to 2,965.26, 4,449.28 and 1,321.64 is: 1,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.26 : 4,449.28 = 1,321.64 : x
  2. Step 2: Convert to fraction form
    2,965.26/4,449.28 = 1,321.64/x
  3. Step 3: Cross multiply
    2,965.26x = 4,449.28 × 1,321.64
  4. Step 4: Simplify right side
    2,965.26x = 5,880,346.42
  5. Step 5: Solve for x
    x = 5,880,346.42/2,965.26
  6. Step 6: Final answer
    x = 1,983.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.