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Finding the Fourth Proportional to 1,639.34, 2,456.88 and 664.30

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Solution

The fourth proportional to 1,639.34, 2,456.88 and 664.30 is: 995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.34 : 2,456.88 = 664.30 : x
  2. Step 2: Convert to fraction form
    1,639.34/2,456.88 = 664.30/x
  3. Step 3: Cross multiply
    1,639.34x = 2,456.88 × 664.30
  4. Step 4: Simplify right side
    1,639.34x = 1,632,109.70
  5. Step 5: Solve for x
    x = 1,632,109.70/1,639.34
  6. Step 6: Final answer
    x = 995.59

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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.