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Finding the Fourth Proportional to 2,989.20, 4,483.78 and 937.20

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Solution

The fourth proportional to 2,989.20, 4,483.78 and 937.20 is: 1,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.20 : 4,483.78 = 937.20 : x
  2. Step 2: Convert to fraction form
    2,989.20/4,483.78 = 937.20/x
  3. Step 3: Cross multiply
    2,989.20x = 4,483.78 × 937.20
  4. Step 4: Simplify right side
    2,989.20x = 4,202,198.62
  5. Step 5: Solve for x
    x = 4,202,198.62/2,989.20
  6. Step 6: Final answer
    x = 1,405.79

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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.