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Finding the Fourth Proportional to 3,069.58, 4,608.99 and 1,842.48

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Solution

The fourth proportional to 3,069.58, 4,608.99 and 1,842.48 is: 2,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.58 : 4,608.99 = 1,842.48 : x
  2. Step 2: Convert to fraction form
    3,069.58/4,608.99 = 1,842.48/x
  3. Step 3: Cross multiply
    3,069.58x = 4,608.99 × 1,842.48
  4. Step 4: Simplify right side
    3,069.58x = 8,491,978.81
  5. Step 5: Solve for x
    x = 8,491,978.81/3,069.58
  6. Step 6: Final answer
    x = 2,766.49

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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.