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Finding the Fourth Proportional to 3,208.10, 4,812.94 and 986.86

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Solution

The fourth proportional to 3,208.10, 4,812.94 and 986.86 is: 1,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.10 : 4,812.94 = 986.86 : x
  2. Step 2: Convert to fraction form
    3,208.10/4,812.94 = 986.86/x
  3. Step 3: Cross multiply
    3,208.10x = 4,812.94 × 986.86
  4. Step 4: Simplify right side
    3,208.10x = 4,749,697.97
  5. Step 5: Solve for x
    x = 4,749,697.97/3,208.10
  6. Step 6: Final answer
    x = 1,480.53

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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.