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Finding the Fourth Proportional to 3,245.67, 4,479.12 and 1,829.41

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Solution

The fourth proportional to 3,245.67, 4,479.12 and 1,829.41 is: 2,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.67 : 4,479.12 = 1,829.41 : x
  2. Step 2: Convert to fraction form
    3,245.67/4,479.12 = 1,829.41/x
  3. Step 3: Cross multiply
    3,245.67x = 4,479.12 × 1,829.41
  4. Step 4: Simplify right side
    3,245.67x = 8,194,135.72
  5. Step 5: Solve for x
    x = 8,194,135.72/3,245.67
  6. Step 6: Final answer
    x = 2,524.64

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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.