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Finding the Fourth Proportional to 2,497.62, 3,745.82 and 742.26

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Solution

The fourth proportional to 2,497.62, 3,745.82 and 742.26 is: 1,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.62 : 3,745.82 = 742.26 : x
  2. Step 2: Convert to fraction form
    2,497.62/3,745.82 = 742.26/x
  3. Step 3: Cross multiply
    2,497.62x = 3,745.82 × 742.26
  4. Step 4: Simplify right side
    2,497.62x = 2,780,372.35
  5. Step 5: Solve for x
    x = 2,780,372.35/2,497.62
  6. Step 6: Final answer
    x = 1,113.21

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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.