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Finding the Fourth Proportional to 2,223.54, 3,334.50 and 989.73

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Solution

The fourth proportional to 2,223.54, 3,334.50 and 989.73 is: 1,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.54 : 3,334.50 = 989.73 : x
  2. Step 2: Convert to fraction form
    2,223.54/3,334.50 = 989.73/x
  3. Step 3: Cross multiply
    2,223.54x = 3,334.50 × 989.73
  4. Step 4: Simplify right side
    2,223.54x = 3,300,254.69
  5. Step 5: Solve for x
    x = 3,300,254.69/2,223.54
  6. Step 6: Final answer
    x = 1,484.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.