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Finding the Fourth Proportional to 3,069.26, 4,605.26 and 1,608.08

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Solution

The fourth proportional to 3,069.26, 4,605.26 and 1,608.08 is: 2,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.26 : 4,605.26 = 1,608.08 : x
  2. Step 2: Convert to fraction form
    3,069.26/4,605.26 = 1,608.08/x
  3. Step 3: Cross multiply
    3,069.26x = 4,605.26 × 1,608.08
  4. Step 4: Simplify right side
    3,069.26x = 7,405,626.50
  5. Step 5: Solve for x
    x = 7,405,626.50/3,069.26
  6. Step 6: Final answer
    x = 2,412.84

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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.