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Finding the Fourth Proportional to 2,408.50, 3,613.14 and 765.44

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Solution

The fourth proportional to 2,408.50, 3,613.14 and 765.44 is: 1,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.50 : 3,613.14 = 765.44 : x
  2. Step 2: Convert to fraction form
    2,408.50/3,613.14 = 765.44/x
  3. Step 3: Cross multiply
    2,408.50x = 3,613.14 × 765.44
  4. Step 4: Simplify right side
    2,408.50x = 2,765,641.88
  5. Step 5: Solve for x
    x = 2,765,641.88/2,408.50
  6. Step 6: Final answer
    x = 1,148.28

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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.