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Finding the Fourth Proportional to 4,074.80, 6,109.44 and 1,608.95

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Solution

The fourth proportional to 4,074.80, 6,109.44 and 1,608.95 is: 2,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.80 : 6,109.44 = 1,608.95 : x
  2. Step 2: Convert to fraction form
    4,074.80/6,109.44 = 1,608.95/x
  3. Step 3: Cross multiply
    4,074.80x = 6,109.44 × 1,608.95
  4. Step 4: Simplify right side
    4,074.80x = 9,829,752.94
  5. Step 5: Solve for x
    x = 9,829,752.94/4,074.80
  6. Step 6: Final answer
    x = 2,412.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.