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Finding the Fourth Proportional to 2,379.62, 3,568.86 and 918.44

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Solution

The fourth proportional to 2,379.62, 3,568.86 and 918.44 is: 1,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.62 : 3,568.86 = 918.44 : x
  2. Step 2: Convert to fraction form
    2,379.62/3,568.86 = 918.44/x
  3. Step 3: Cross multiply
    2,379.62x = 3,568.86 × 918.44
  4. Step 4: Simplify right side
    2,379.62x = 3,277,783.78
  5. Step 5: Solve for x
    x = 3,277,783.78/2,379.62
  6. Step 6: Final answer
    x = 1,377.44

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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.