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Finding the Fourth Proportional to 3,208.14, 4,815.23 and 1,649.24

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Solution

The fourth proportional to 3,208.14, 4,815.23 and 1,649.24 is: 2,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.14 : 4,815.23 = 1,649.24 : x
  2. Step 2: Convert to fraction form
    3,208.14/4,815.23 = 1,649.24/x
  3. Step 3: Cross multiply
    3,208.14x = 4,815.23 × 1,649.24
  4. Step 4: Simplify right side
    3,208.14x = 7,941,449.97
  5. Step 5: Solve for x
    x = 7,941,449.97/3,208.14
  6. Step 6: Final answer
    x = 2,475.41

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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.