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Finding the Fourth Proportional to 1,662.67, 2,493.99 and 636.67

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Solution

The fourth proportional to 1,662.67, 2,493.99 and 636.67 is: 955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.67 : 2,493.99 = 636.67 : x
  2. Step 2: Convert to fraction form
    1,662.67/2,493.99 = 636.67/x
  3. Step 3: Cross multiply
    1,662.67x = 2,493.99 × 636.67
  4. Step 4: Simplify right side
    1,662.67x = 1,587,852.92
  5. Step 5: Solve for x
    x = 1,587,852.92/1,662.67
  6. Step 6: Final answer
    x = 955.00

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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.