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Finding the Fourth Proportional to 2,965.98, 4,450.52 and 1,322.14

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Solution

The fourth proportional to 2,965.98, 4,450.52 and 1,322.14 is: 1,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.98 : 4,450.52 = 1,322.14 : x
  2. Step 2: Convert to fraction form
    2,965.98/4,450.52 = 1,322.14/x
  3. Step 3: Cross multiply
    2,965.98x = 4,450.52 × 1,322.14
  4. Step 4: Simplify right side
    2,965.98x = 5,884,210.51
  5. Step 5: Solve for x
    x = 5,884,210.51/2,965.98
  6. Step 6: Final answer
    x = 1,983.90

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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.