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Finding the Fourth Proportional to 3,206.09, 4,809.95 and 984.86

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Solution

The fourth proportional to 3,206.09, 4,809.95 and 984.86 is: 1,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.09 : 4,809.95 = 984.86 : x
  2. Step 2: Convert to fraction form
    3,206.09/4,809.95 = 984.86/x
  3. Step 3: Cross multiply
    3,206.09x = 4,809.95 × 984.86
  4. Step 4: Simplify right side
    3,206.09x = 4,737,122.43
  5. Step 5: Solve for x
    x = 4,737,122.43/3,206.09
  6. Step 6: Final answer
    x = 1,477.54

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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.