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Finding the Fourth Proportional to 2,675.17, 4,012.48 and 826.30

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Solution

The fourth proportional to 2,675.17, 4,012.48 and 826.30 is: 1,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.17 : 4,012.48 = 826.30 : x
  2. Step 2: Convert to fraction form
    2,675.17/4,012.48 = 826.30/x
  3. Step 3: Cross multiply
    2,675.17x = 4,012.48 × 826.30
  4. Step 4: Simplify right side
    2,675.17x = 3,315,512.22
  5. Step 5: Solve for x
    x = 3,315,512.22/2,675.17
  6. Step 6: Final answer
    x = 1,239.37

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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.