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Finding the Fourth Proportional to 2,676.32, 4,012.93 and 826.94

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Solution

The fourth proportional to 2,676.32, 4,012.93 and 826.94 is: 1,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.32 : 4,012.93 = 826.94 : x
  2. Step 2: Convert to fraction form
    2,676.32/4,012.93 = 826.94/x
  3. Step 3: Cross multiply
    2,676.32x = 4,012.93 × 826.94
  4. Step 4: Simplify right side
    2,676.32x = 3,318,452.33
  5. Step 5: Solve for x
    x = 3,318,452.33/2,676.32
  6. Step 6: Final answer
    x = 1,239.93

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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.