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Finding the Fourth Proportional to 2,219.69, 3,330.17 and 659.73

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Solution

The fourth proportional to 2,219.69, 3,330.17 and 659.73 is: 989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.69 : 3,330.17 = 659.73 : x
  2. Step 2: Convert to fraction form
    2,219.69/3,330.17 = 659.73/x
  3. Step 3: Cross multiply
    2,219.69x = 3,330.17 × 659.73
  4. Step 4: Simplify right side
    2,219.69x = 2,197,009.76
  5. Step 5: Solve for x
    x = 2,197,009.76/2,219.69
  6. Step 6: Final answer
    x = 989.78

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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.