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Finding the Fourth Proportional to 2,161.99, 2,983.26 and 1,322.74

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Solution

The fourth proportional to 2,161.99, 2,983.26 and 1,322.74 is: 1,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.99 : 2,983.26 = 1,322.74 : x
  2. Step 2: Convert to fraction form
    2,161.99/2,983.26 = 1,322.74/x
  3. Step 3: Cross multiply
    2,161.99x = 2,983.26 × 1,322.74
  4. Step 4: Simplify right side
    2,161.99x = 3,946,077.33
  5. Step 5: Solve for x
    x = 3,946,077.33/2,161.99
  6. Step 6: Final answer
    x = 1,825.21

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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.