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Finding the Fourth Proportional to 4,660.46, 6,991.02 and 1,328.64

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Solution

The fourth proportional to 4,660.46, 6,991.02 and 1,328.64 is: 1,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.46 : 6,991.02 = 1,328.64 : x
  2. Step 2: Convert to fraction form
    4,660.46/6,991.02 = 1,328.64/x
  3. Step 3: Cross multiply
    4,660.46x = 6,991.02 × 1,328.64
  4. Step 4: Simplify right side
    4,660.46x = 9,288,553.80
  5. Step 5: Solve for x
    x = 9,288,553.80/4,660.46
  6. Step 6: Final answer
    x = 1,993.06

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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.