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Finding the Fourth Proportional to 2,676.08, 4,014.30 and 827.36

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Solution

The fourth proportional to 2,676.08, 4,014.30 and 827.36 is: 1,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.08 : 4,014.30 = 827.36 : x
  2. Step 2: Convert to fraction form
    2,676.08/4,014.30 = 827.36/x
  3. Step 3: Cross multiply
    2,676.08x = 4,014.30 × 827.36
  4. Step 4: Simplify right side
    2,676.08x = 3,321,271.25
  5. Step 5: Solve for x
    x = 3,321,271.25/2,676.08
  6. Step 6: Final answer
    x = 1,241.10

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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.