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Finding the Fourth Proportional to 4,272.96, 6,410.34 and 1,676.16

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Solution

The fourth proportional to 4,272.96, 6,410.34 and 1,676.16 is: 2,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.96 : 6,410.34 = 1,676.16 : x
  2. Step 2: Convert to fraction form
    4,272.96/6,410.34 = 1,676.16/x
  3. Step 3: Cross multiply
    4,272.96x = 6,410.34 × 1,676.16
  4. Step 4: Simplify right side
    4,272.96x = 10,744,755.49
  5. Step 5: Solve for x
    x = 10,744,755.49/4,272.96
  6. Step 6: Final answer
    x = 2,514.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.