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Finding the Fourth Proportional to 2,467.54, 3,702.34 and 1,297.26

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Solution

The fourth proportional to 2,467.54, 3,702.34 and 1,297.26 is: 1,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.54 : 3,702.34 = 1,297.26 : x
  2. Step 2: Convert to fraction form
    2,467.54/3,702.34 = 1,297.26/x
  3. Step 3: Cross multiply
    2,467.54x = 3,702.34 × 1,297.26
  4. Step 4: Simplify right side
    2,467.54x = 4,802,891.10
  5. Step 5: Solve for x
    x = 4,802,891.10/2,467.54
  6. Step 6: Final answer
    x = 1,946.43

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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.