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Finding the Fourth Proportional to 1,375.41, 2,059.94 and 826.38

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Solution

The fourth proportional to 1,375.41, 2,059.94 and 826.38 is: 1,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.41 : 2,059.94 = 826.38 : x
  2. Step 2: Convert to fraction form
    1,375.41/2,059.94 = 826.38/x
  3. Step 3: Cross multiply
    1,375.41x = 2,059.94 × 826.38
  4. Step 4: Simplify right side
    1,375.41x = 1,702,297.33
  5. Step 5: Solve for x
    x = 1,702,297.33/1,375.41
  6. Step 6: Final answer
    x = 1,237.66

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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.