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Finding the Fourth Proportional to 1,944.16, 2,683.16 and 1,197.97

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Solution

The fourth proportional to 1,944.16, 2,683.16 and 1,197.97 is: 1,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.16 : 2,683.16 = 1,197.97 : x
  2. Step 2: Convert to fraction form
    1,944.16/2,683.16 = 1,197.97/x
  3. Step 3: Cross multiply
    1,944.16x = 2,683.16 × 1,197.97
  4. Step 4: Simplify right side
    1,944.16x = 3,214,345.19
  5. Step 5: Solve for x
    x = 3,214,345.19/1,944.16
  6. Step 6: Final answer
    x = 1,653.33

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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.