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Finding the Fourth Proportional to 2,322.99, 3,205.82 and 1,661.43

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Solution

The fourth proportional to 2,322.99, 3,205.82 and 1,661.43 is: 2,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.99 : 3,205.82 = 1,661.43 : x
  2. Step 2: Convert to fraction form
    2,322.99/3,205.82 = 1,661.43/x
  3. Step 3: Cross multiply
    2,322.99x = 3,205.82 × 1,661.43
  4. Step 4: Simplify right side
    2,322.99x = 5,326,237.22
  5. Step 5: Solve for x
    x = 5,326,237.22/2,322.99
  6. Step 6: Final answer
    x = 2,292.84

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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.