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Finding the Fourth Proportional to 2,144.04, 3,214.44 and 844.80

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Solution

The fourth proportional to 2,144.04, 3,214.44 and 844.80 is: 1,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.04 : 3,214.44 = 844.80 : x
  2. Step 2: Convert to fraction form
    2,144.04/3,214.44 = 844.80/x
  3. Step 3: Cross multiply
    2,144.04x = 3,214.44 × 844.80
  4. Step 4: Simplify right side
    2,144.04x = 2,715,558.91
  5. Step 5: Solve for x
    x = 2,715,558.91/2,144.04
  6. Step 6: Final answer
    x = 1,266.56

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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.