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Finding the Fourth Proportional to 2,497.26, 3,745.89 and 765.90

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Solution

The fourth proportional to 2,497.26, 3,745.89 and 765.90 is: 1,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.26 : 3,745.89 = 765.90 : x
  2. Step 2: Convert to fraction form
    2,497.26/3,745.89 = 765.90/x
  3. Step 3: Cross multiply
    2,497.26x = 3,745.89 × 765.90
  4. Step 4: Simplify right side
    2,497.26x = 2,868,977.15
  5. Step 5: Solve for x
    x = 2,868,977.15/2,497.26
  6. Step 6: Final answer
    x = 1,148.85

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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.