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Finding the Fourth Proportional to 2,467.57, 3,702.81 and 908.67

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Solution

The fourth proportional to 2,467.57, 3,702.81 and 908.67 is: 1,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.57 : 3,702.81 = 908.67 : x
  2. Step 2: Convert to fraction form
    2,467.57/3,702.81 = 908.67/x
  3. Step 3: Cross multiply
    2,467.57x = 3,702.81 × 908.67
  4. Step 4: Simplify right side
    2,467.57x = 3,364,625.38
  5. Step 5: Solve for x
    x = 3,364,625.38/2,467.57
  6. Step 6: Final answer
    x = 1,363.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.