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Finding the Fourth Proportional to 2,137.24, 3,206.49 and 636.30

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Solution

The fourth proportional to 2,137.24, 3,206.49 and 636.30 is: 954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.24 : 3,206.49 = 636.30 : x
  2. Step 2: Convert to fraction form
    2,137.24/3,206.49 = 636.30/x
  3. Step 3: Cross multiply
    2,137.24x = 3,206.49 × 636.30
  4. Step 4: Simplify right side
    2,137.24x = 2,040,289.59
  5. Step 5: Solve for x
    x = 2,040,289.59/2,137.24
  6. Step 6: Final answer
    x = 954.64

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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.