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Finding the Fourth Proportional to 2,254.30, 3,381.12 and 793.26

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Solution

The fourth proportional to 2,254.30, 3,381.12 and 793.26 is: 1,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.30 : 3,381.12 = 793.26 : x
  2. Step 2: Convert to fraction form
    2,254.30/3,381.12 = 793.26/x
  3. Step 3: Cross multiply
    2,254.30x = 3,381.12 × 793.26
  4. Step 4: Simplify right side
    2,254.30x = 2,682,107.25
  5. Step 5: Solve for x
    x = 2,682,107.25/2,254.30
  6. Step 6: Final answer
    x = 1,189.77

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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.