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Finding the Fourth Proportional to 2,408.80, 3,613.26 and 677.41

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Solution

The fourth proportional to 2,408.80, 3,613.26 and 677.41 is: 1,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.80 : 3,613.26 = 677.41 : x
  2. Step 2: Convert to fraction form
    2,408.80/3,613.26 = 677.41/x
  3. Step 3: Cross multiply
    2,408.80x = 3,613.26 × 677.41
  4. Step 4: Simplify right side
    2,408.80x = 2,447,658.46
  5. Step 5: Solve for x
    x = 2,447,658.46/2,408.80
  6. Step 6: Final answer
    x = 1,016.13

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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.