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Finding the Fourth Proportional to 2,305.20, 3,457.26 and 843.56

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Solution

The fourth proportional to 2,305.20, 3,457.26 and 843.56 is: 1,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.20 : 3,457.26 = 843.56 : x
  2. Step 2: Convert to fraction form
    2,305.20/3,457.26 = 843.56/x
  3. Step 3: Cross multiply
    2,305.20x = 3,457.26 × 843.56
  4. Step 4: Simplify right side
    2,305.20x = 2,916,406.25
  5. Step 5: Solve for x
    x = 2,916,406.25/2,305.20
  6. Step 6: Final answer
    x = 1,265.14

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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.