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Finding the Fourth Proportional to 1,638.09, 2,458.16 and 664.19

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Solution

The fourth proportional to 1,638.09, 2,458.16 and 664.19 is: 996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.09 : 2,458.16 = 664.19 : x
  2. Step 2: Convert to fraction form
    1,638.09/2,458.16 = 664.19/x
  3. Step 3: Cross multiply
    1,638.09x = 2,458.16 × 664.19
  4. Step 4: Simplify right side
    1,638.09x = 1,632,685.29
  5. Step 5: Solve for x
    x = 1,632,685.29/1,638.09
  6. Step 6: Final answer
    x = 996.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.