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Finding the Fourth Proportional to 4,076.69, 6,110.90 and 1,613.24

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Solution

The fourth proportional to 4,076.69, 6,110.90 and 1,613.24 is: 2,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.69 : 6,110.90 = 1,613.24 : x
  2. Step 2: Convert to fraction form
    4,076.69/6,110.90 = 1,613.24/x
  3. Step 3: Cross multiply
    4,076.69x = 6,110.90 × 1,613.24
  4. Step 4: Simplify right side
    4,076.69x = 9,858,309.70
  5. Step 5: Solve for x
    x = 9,858,309.70/4,076.69
  6. Step 6: Final answer
    x = 2,418.22

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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.