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Finding the Fourth Proportional to 1,636.97, 2,456.74 and 663.76

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Solution

The fourth proportional to 1,636.97, 2,456.74 and 663.76 is: 996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.97 : 2,456.74 = 663.76 : x
  2. Step 2: Convert to fraction form
    1,636.97/2,456.74 = 663.76/x
  3. Step 3: Cross multiply
    1,636.97x = 2,456.74 × 663.76
  4. Step 4: Simplify right side
    1,636.97x = 1,630,673.46
  5. Step 5: Solve for x
    x = 1,630,673.46/1,636.97
  6. Step 6: Final answer
    x = 996.15

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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.