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Finding the Fourth Proportional to 3,408.66, 4,703.85 and 2,082.24

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Solution

The fourth proportional to 3,408.66, 4,703.85 and 2,082.24 is: 2,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.66 : 4,703.85 = 2,082.24 : x
  2. Step 2: Convert to fraction form
    3,408.66/4,703.85 = 2,082.24/x
  3. Step 3: Cross multiply
    3,408.66x = 4,703.85 × 2,082.24
  4. Step 4: Simplify right side
    3,408.66x = 9,794,544.62
  5. Step 5: Solve for x
    x = 9,794,544.62/3,408.66
  6. Step 6: Final answer
    x = 2,873.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.