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Finding the Fourth Proportional to 4,980.54, 7,469.67 and 1,470.60

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Solution

The fourth proportional to 4,980.54, 7,469.67 and 1,470.60 is: 2,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.54 : 7,469.67 = 1,470.60 : x
  2. Step 2: Convert to fraction form
    4,980.54/7,469.67 = 1,470.60/x
  3. Step 3: Cross multiply
    4,980.54x = 7,469.67 × 1,470.60
  4. Step 4: Simplify right side
    4,980.54x = 10,984,896.70
  5. Step 5: Solve for x
    x = 10,984,896.70/4,980.54
  6. Step 6: Final answer
    x = 2,205.56

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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.