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Finding the Fourth Proportional to 3,380.42, 4,658.39 and 2,434.43

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Solution

The fourth proportional to 3,380.42, 4,658.39 and 2,434.43 is: 3,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.42 : 4,658.39 = 2,434.43 : x
  2. Step 2: Convert to fraction form
    3,380.42/4,658.39 = 2,434.43/x
  3. Step 3: Cross multiply
    3,380.42x = 4,658.39 × 2,434.43
  4. Step 4: Simplify right side
    3,380.42x = 11,340,500.37
  5. Step 5: Solve for x
    x = 11,340,500.37/3,380.42
  6. Step 6: Final answer
    x = 3,354.76

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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.