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Finding the Fourth Proportional to 3,201.84, 4,800.02 and 2,103.80

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Solution

The fourth proportional to 3,201.84, 4,800.02 and 2,103.80 is: 3,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.84 : 4,800.02 = 2,103.80 : x
  2. Step 2: Convert to fraction form
    3,201.84/4,800.02 = 2,103.80/x
  3. Step 3: Cross multiply
    3,201.84x = 4,800.02 × 2,103.80
  4. Step 4: Simplify right side
    3,201.84x = 10,098,247.56
  5. Step 5: Solve for x
    x = 10,098,247.56/3,201.84
  6. Step 6: Final answer
    x = 3,153.89

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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.