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Finding the Fourth Proportional to 2,979.34, 4,469.50 and 1,223.88

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Solution

The fourth proportional to 2,979.34, 4,469.50 and 1,223.88 is: 1,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.34 : 4,469.50 = 1,223.88 : x
  2. Step 2: Convert to fraction form
    2,979.34/4,469.50 = 1,223.88/x
  3. Step 3: Cross multiply
    2,979.34x = 4,469.50 × 1,223.88
  4. Step 4: Simplify right side
    2,979.34x = 5,470,131.66
  5. Step 5: Solve for x
    x = 5,470,131.66/2,979.34
  6. Step 6: Final answer
    x = 1,836.02

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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.