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Finding the Fourth Proportional to 3,202.37, 4,797.34 and 2,103.40

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Solution

The fourth proportional to 3,202.37, 4,797.34 and 2,103.40 is: 3,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.37 : 4,797.34 = 2,103.40 : x
  2. Step 2: Convert to fraction form
    3,202.37/4,797.34 = 2,103.40/x
  3. Step 3: Cross multiply
    3,202.37x = 4,797.34 × 2,103.40
  4. Step 4: Simplify right side
    3,202.37x = 10,090,724.96
  5. Step 5: Solve for x
    x = 10,090,724.96/3,202.37
  6. Step 6: Final answer
    x = 3,151.02

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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.