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Finding the Fourth Proportional to 2,219.21, 3,329.30 and 659.28

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Solution

The fourth proportional to 2,219.21, 3,329.30 and 659.28 is: 989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.21 : 3,329.30 = 659.28 : x
  2. Step 2: Convert to fraction form
    2,219.21/3,329.30 = 659.28/x
  3. Step 3: Cross multiply
    2,219.21x = 3,329.30 × 659.28
  4. Step 4: Simplify right side
    2,219.21x = 2,194,940.90
  5. Step 5: Solve for x
    x = 2,194,940.90/2,219.21
  6. Step 6: Final answer
    x = 989.06

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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.