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Finding the Fourth Proportional to 4,113.99, 6,168.56 and 1,649.97

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Solution

The fourth proportional to 4,113.99, 6,168.56 and 1,649.97 is: 2,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.99 : 6,168.56 = 1,649.97 : x
  2. Step 2: Convert to fraction form
    4,113.99/6,168.56 = 1,649.97/x
  3. Step 3: Cross multiply
    4,113.99x = 6,168.56 × 1,649.97
  4. Step 4: Simplify right side
    4,113.99x = 10,177,930.69
  5. Step 5: Solve for x
    x = 10,177,930.69/4,113.99
  6. Step 6: Final answer
    x = 2,473.98

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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.