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Finding the Fourth Proportional to 1,975.14, 2,965.30 and 1,321.22

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Solution

The fourth proportional to 1,975.14, 2,965.30 and 1,321.22 is: 1,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.14 : 2,965.30 = 1,321.22 : x
  2. Step 2: Convert to fraction form
    1,975.14/2,965.30 = 1,321.22/x
  3. Step 3: Cross multiply
    1,975.14x = 2,965.30 × 1,321.22
  4. Step 4: Simplify right side
    1,975.14x = 3,917,813.67
  5. Step 5: Solve for x
    x = 3,917,813.67/1,975.14
  6. Step 6: Final answer
    x = 1,983.56

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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.