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Finding the Fourth Proportional to 2,734, 4,099.56 and 1,624.48

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Solution

The fourth proportional to 2,734, 4,099.56 and 1,624.48 is: 2,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734 : 4,099.56 = 1,624.48 : x
  2. Step 2: Convert to fraction form
    2,734/4,099.56 = 1,624.48/x
  3. Step 3: Cross multiply
    2,734x = 4,099.56 × 1,624.48
  4. Step 4: Simplify right side
    2,734x = 6,659,653.23
  5. Step 5: Solve for x
    x = 6,659,653.23/2,734
  6. Step 6: Final answer
    x = 2,435.86

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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.