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Finding the Fourth Proportional to 1,644.44, 2,269.33 and 945.82

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Solution

The fourth proportional to 1,644.44, 2,269.33 and 945.82 is: 1,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.44 : 2,269.33 = 945.82 : x
  2. Step 2: Convert to fraction form
    1,644.44/2,269.33 = 945.82/x
  3. Step 3: Cross multiply
    1,644.44x = 2,269.33 × 945.82
  4. Step 4: Simplify right side
    1,644.44x = 2,146,361.62
  5. Step 5: Solve for x
    x = 2,146,361.62/1,644.44
  6. Step 6: Final answer
    x = 1,305.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.