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Finding the Fourth Proportional to 1,944.29, 2,681.75 and 1,198.01

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Solution

The fourth proportional to 1,944.29, 2,681.75 and 1,198.01 is: 1,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.29 : 2,681.75 = 1,198.01 : x
  2. Step 2: Convert to fraction form
    1,944.29/2,681.75 = 1,198.01/x
  3. Step 3: Cross multiply
    1,944.29x = 2,681.75 × 1,198.01
  4. Step 4: Simplify right side
    1,944.29x = 3,212,753.62
  5. Step 5: Solve for x
    x = 3,212,753.62/1,944.29
  6. Step 6: Final answer
    x = 1,652.41

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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.