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Finding the Fourth Proportional to 2,467.82, 3,702.47 and 736.44

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Solution

The fourth proportional to 2,467.82, 3,702.47 and 736.44 is: 1,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.82 : 3,702.47 = 736.44 : x
  2. Step 2: Convert to fraction form
    2,467.82/3,702.47 = 736.44/x
  3. Step 3: Cross multiply
    2,467.82x = 3,702.47 × 736.44
  4. Step 4: Simplify right side
    2,467.82x = 2,726,643.32
  5. Step 5: Solve for x
    x = 2,726,643.32/2,467.82
  6. Step 6: Final answer
    x = 1,104.88

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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.