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Finding the Fourth Proportional to 2,408.40, 3,612.22 and 676.64

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Solution

The fourth proportional to 2,408.40, 3,612.22 and 676.64 is: 1,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.40 : 3,612.22 = 676.64 : x
  2. Step 2: Convert to fraction form
    2,408.40/3,612.22 = 676.64/x
  3. Step 3: Cross multiply
    2,408.40x = 3,612.22 × 676.64
  4. Step 4: Simplify right side
    2,408.40x = 2,444,172.54
  5. Step 5: Solve for x
    x = 2,444,172.54/2,408.40
  6. Step 6: Final answer
    x = 1,014.85

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1.5x scale

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.