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Finding the Fourth Proportional to 2,733, 4,099.88 and 1,346.28

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Solution

The fourth proportional to 2,733, 4,099.88 and 1,346.28 is: 2,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733 : 4,099.88 = 1,346.28 : x
  2. Step 2: Convert to fraction form
    2,733/4,099.88 = 1,346.28/x
  3. Step 3: Cross multiply
    2,733x = 4,099.88 × 1,346.28
  4. Step 4: Simplify right side
    2,733x = 5,519,586.45
  5. Step 5: Solve for x
    x = 5,519,586.45/2,733
  6. Step 6: Final answer
    x = 2,019.61

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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.