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Finding the Fourth Proportional to 1,644.90, 2,467.16 and 658.14

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Solution

The fourth proportional to 1,644.90, 2,467.16 and 658.14 is: 987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.90 : 2,467.16 = 658.14 : x
  2. Step 2: Convert to fraction form
    1,644.90/2,467.16 = 658.14/x
  3. Step 3: Cross multiply
    1,644.90x = 2,467.16 × 658.14
  4. Step 4: Simplify right side
    1,644.90x = 1,623,738.33
  5. Step 5: Solve for x
    x = 1,623,738.33/1,644.90
  6. Step 6: Final answer
    x = 987.13

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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.