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Finding the Fourth Proportional to 2,260.99, 3,382.12 and 2,122.75

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Solution

The fourth proportional to 2,260.99, 3,382.12 and 2,122.75 is: 3,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.99 : 3,382.12 = 2,122.75 : x
  2. Step 2: Convert to fraction form
    2,260.99/3,382.12 = 2,122.75/x
  3. Step 3: Cross multiply
    2,260.99x = 3,382.12 × 2,122.75
  4. Step 4: Simplify right side
    2,260.99x = 7,179,395.23
  5. Step 5: Solve for x
    x = 7,179,395.23/2,260.99
  6. Step 6: Final answer
    x = 3,175.33

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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.