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Finding the Fourth Proportional to 2,198.77, 3,028.93 and 1,883.00

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Solution

The fourth proportional to 2,198.77, 3,028.93 and 1,883.00 is: 2,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.77 : 3,028.93 = 1,883.00 : x
  2. Step 2: Convert to fraction form
    2,198.77/3,028.93 = 1,883.00/x
  3. Step 3: Cross multiply
    2,198.77x = 3,028.93 × 1,883.00
  4. Step 4: Simplify right side
    2,198.77x = 5,703,478.05
  5. Step 5: Solve for x
    x = 5,703,478.05/2,198.77
  6. Step 6: Final answer
    x = 2,593.94

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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.