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Finding the Fourth Proportional to 3,202.47, 4,797.39 and 2,103.48

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Solution

The fourth proportional to 3,202.47, 4,797.39 and 2,103.48 is: 3,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.47 : 4,797.39 = 2,103.48 : x
  2. Step 2: Convert to fraction form
    3,202.47/4,797.39 = 2,103.48/x
  3. Step 3: Cross multiply
    3,202.47x = 4,797.39 × 2,103.48
  4. Step 4: Simplify right side
    3,202.47x = 10,091,213.92
  5. Step 5: Solve for x
    x = 10,091,213.92/3,202.47
  6. Step 6: Final answer
    x = 3,151.07

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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.