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Finding the Fourth Proportional to 4,600.33, 6,896.27 and 1,676.57

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Solution

The fourth proportional to 4,600.33, 6,896.27 and 1,676.57 is: 2,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.33 : 6,896.27 = 1,676.57 : x
  2. Step 2: Convert to fraction form
    4,600.33/6,896.27 = 1,676.57/x
  3. Step 3: Cross multiply
    4,600.33x = 6,896.27 × 1,676.57
  4. Step 4: Simplify right side
    4,600.33x = 11,562,049.10
  5. Step 5: Solve for x
    x = 11,562,049.10/4,600.33
  6. Step 6: Final answer
    x = 2,513.31

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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.