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Finding the Fourth Proportional to 1,644.90, 2,467.71 and 1,029.41

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Solution

The fourth proportional to 1,644.90, 2,467.71 and 1,029.41 is: 1,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.90 : 2,467.71 = 1,029.41 : x
  2. Step 2: Convert to fraction form
    1,644.90/2,467.71 = 1,029.41/x
  3. Step 3: Cross multiply
    1,644.90x = 2,467.71 × 1,029.41
  4. Step 4: Simplify right side
    1,644.90x = 2,540,273.01
  5. Step 5: Solve for x
    x = 2,540,273.01/1,644.90
  6. Step 6: Final answer
    x = 1,544.33

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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.