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Finding the Fourth Proportional to 1,944.36, 2,683.22 and 1,147.72

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Solution

The fourth proportional to 1,944.36, 2,683.22 and 1,147.72 is: 1,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.36 : 2,683.22 = 1,147.72 : x
  2. Step 2: Convert to fraction form
    1,944.36/2,683.22 = 1,147.72/x
  3. Step 3: Cross multiply
    1,944.36x = 2,683.22 × 1,147.72
  4. Step 4: Simplify right side
    1,944.36x = 3,079,585.26
  5. Step 5: Solve for x
    x = 3,079,585.26/1,944.36
  6. Step 6: Final answer
    x = 1,583.86

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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.