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Finding the Fourth Proportional to 4,660.80, 6,989.81 and 2,468.33

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Solution

The fourth proportional to 4,660.80, 6,989.81 and 2,468.33 is: 3,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.80 : 6,989.81 = 2,468.33 : x
  2. Step 2: Convert to fraction form
    4,660.80/6,989.81 = 2,468.33/x
  3. Step 3: Cross multiply
    4,660.80x = 6,989.81 × 2,468.33
  4. Step 4: Simplify right side
    4,660.80x = 17,253,157.72
  5. Step 5: Solve for x
    x = 17,253,157.72/4,660.80
  6. Step 6: Final answer
    x = 3,701.76

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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.