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Finding the Fourth Proportional to 1,644.42, 2,467.86 and 779.34

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Solution

The fourth proportional to 1,644.42, 2,467.86 and 779.34 is: 1,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.42 : 2,467.86 = 779.34 : x
  2. Step 2: Convert to fraction form
    1,644.42/2,467.86 = 779.34/x
  3. Step 3: Cross multiply
    1,644.42x = 2,467.86 × 779.34
  4. Step 4: Simplify right side
    1,644.42x = 1,923,302.01
  5. Step 5: Solve for x
    x = 1,923,302.01/1,644.42
  6. Step 6: Final answer
    x = 1,169.59

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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.