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Finding the Fourth Proportional to 2,467.63, 3,702.91 and 908.73

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Solution

The fourth proportional to 2,467.63, 3,702.91 and 908.73 is: 1,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.63 : 3,702.91 = 908.73 : x
  2. Step 2: Convert to fraction form
    2,467.63/3,702.91 = 908.73/x
  3. Step 3: Cross multiply
    2,467.63x = 3,702.91 × 908.73
  4. Step 4: Simplify right side
    2,467.63x = 3,364,944.84
  5. Step 5: Solve for x
    x = 3,364,944.84/2,467.63
  6. Step 6: Final answer
    x = 1,363.63

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1.5x scale

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.