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Finding the Fourth Proportional to 2,305.26, 3,457.55 and 844.07

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Solution

The fourth proportional to 2,305.26, 3,457.55 and 844.07 is: 1,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.26 : 3,457.55 = 844.07 : x
  2. Step 2: Convert to fraction form
    2,305.26/3,457.55 = 844.07/x
  3. Step 3: Cross multiply
    2,305.26x = 3,457.55 × 844.07
  4. Step 4: Simplify right side
    2,305.26x = 2,918,399.05
  5. Step 5: Solve for x
    x = 2,918,399.05/2,305.26
  6. Step 6: Final answer
    x = 1,265.97

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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.