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Finding the Fourth Proportional to 2,733.60, 4,102.80 and 2,344.80

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Solution

The fourth proportional to 2,733.60, 4,102.80 and 2,344.80 is: 3,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.60 : 4,102.80 = 2,344.80 : x
  2. Step 2: Convert to fraction form
    2,733.60/4,102.80 = 2,344.80/x
  3. Step 3: Cross multiply
    2,733.60x = 4,102.80 × 2,344.80
  4. Step 4: Simplify right side
    2,733.60x = 9,620,245.44
  5. Step 5: Solve for x
    x = 9,620,245.44/2,733.60
  6. Step 6: Final answer
    x = 3,519.26

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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.