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Finding the Fourth Proportional to 2,996.69, 4,135.86 and 2,249.46

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Solution

The fourth proportional to 2,996.69, 4,135.86 and 2,249.46 is: 3,104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.69 : 4,135.86 = 2,249.46 : x
  2. Step 2: Convert to fraction form
    2,996.69/4,135.86 = 2,249.46/x
  3. Step 3: Cross multiply
    2,996.69x = 4,135.86 × 2,249.46
  4. Step 4: Simplify right side
    2,996.69x = 9,303,451.64
  5. Step 5: Solve for x
    x = 9,303,451.64/2,996.69
  6. Step 6: Final answer
    x = 3,104.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.