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Finding the Fourth Proportional to 2,408.44, 3,612.88 and 677.08

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Solution

The fourth proportional to 2,408.44, 3,612.88 and 677.08 is: 1,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.44 : 3,612.88 = 677.08 : x
  2. Step 2: Convert to fraction form
    2,408.44/3,612.88 = 677.08/x
  3. Step 3: Cross multiply
    2,408.44x = 3,612.88 × 677.08
  4. Step 4: Simplify right side
    2,408.44x = 2,446,208.79
  5. Step 5: Solve for x
    x = 2,446,208.79/2,408.44
  6. Step 6: Final answer
    x = 1,015.68

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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.