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Finding the Fourth Proportional to 2,305.52, 3,457.60 and 844.33

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Solution

The fourth proportional to 2,305.52, 3,457.60 and 844.33 is: 1,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.52 : 3,457.60 = 844.33 : x
  2. Step 2: Convert to fraction form
    2,305.52/3,457.60 = 844.33/x
  3. Step 3: Cross multiply
    2,305.52x = 3,457.60 × 844.33
  4. Step 4: Simplify right side
    2,305.52x = 2,919,344.65
  5. Step 5: Solve for x
    x = 2,919,344.65/2,305.52
  6. Step 6: Final answer
    x = 1,266.24

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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.