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Finding the Fourth Proportional to 4,310.41, 6,463.22 and 1,676.29

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Solution

The fourth proportional to 4,310.41, 6,463.22 and 1,676.29 is: 2,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.41 : 6,463.22 = 1,676.29 : x
  2. Step 2: Convert to fraction form
    4,310.41/6,463.22 = 1,676.29/x
  3. Step 3: Cross multiply
    4,310.41x = 6,463.22 × 1,676.29
  4. Step 4: Simplify right side
    4,310.41x = 10,834,231.05
  5. Step 5: Solve for x
    x = 10,834,231.05/4,310.41
  6. Step 6: Final answer
    x = 2,513.50

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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.