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Finding the Fourth Proportional to 3,206.69, 4,803.64 and 2,107.73

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Solution

The fourth proportional to 3,206.69, 4,803.64 and 2,107.73 is: 3,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.69 : 4,803.64 = 2,107.73 : x
  2. Step 2: Convert to fraction form
    3,206.69/4,803.64 = 2,107.73/x
  3. Step 3: Cross multiply
    3,206.69x = 4,803.64 × 2,107.73
  4. Step 4: Simplify right side
    3,206.69x = 10,124,746.85
  5. Step 5: Solve for x
    x = 10,124,746.85/3,206.69
  6. Step 6: Final answer
    x = 3,157.38

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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.