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Finding the Fourth Proportional to 3,213.40, 4,830.90 and 2,738.20

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Solution

The fourth proportional to 3,213.40, 4,830.90 and 2,738.20 is: 4,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.40 : 4,830.90 = 2,738.20 : x
  2. Step 2: Convert to fraction form
    3,213.40/4,830.90 = 2,738.20/x
  3. Step 3: Cross multiply
    3,213.40x = 4,830.90 × 2,738.20
  4. Step 4: Simplify right side
    3,213.40x = 13,227,970.38
  5. Step 5: Solve for x
    x = 13,227,970.38/3,213.40
  6. Step 6: Final answer
    x = 4,116.50

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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.