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Finding the Fourth Proportional to 1,372.27, 1,893.97 and 813.05

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Solution

The fourth proportional to 1,372.27, 1,893.97 and 813.05 is: 1,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.27 : 1,893.97 = 813.05 : x
  2. Step 2: Convert to fraction form
    1,372.27/1,893.97 = 813.05/x
  3. Step 3: Cross multiply
    1,372.27x = 1,893.97 × 813.05
  4. Step 4: Simplify right side
    1,372.27x = 1,539,885.88
  5. Step 5: Solve for x
    x = 1,539,885.88/1,372.27
  6. Step 6: Final answer
    x = 1,122.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.