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Finding the Fourth Proportional to 2,379.40, 3,568.83 and 918.43

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Solution

The fourth proportional to 2,379.40, 3,568.83 and 918.43 is: 1,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.40 : 3,568.83 = 918.43 : x
  2. Step 2: Convert to fraction form
    2,379.40/3,568.83 = 918.43/x
  3. Step 3: Cross multiply
    2,379.40x = 3,568.83 × 918.43
  4. Step 4: Simplify right side
    2,379.40x = 3,277,720.54
  5. Step 5: Solve for x
    x = 3,277,720.54/2,379.40
  6. Step 6: Final answer
    x = 1,377.54

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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.