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Finding the Fourth Proportional to 4,150.69, 6,228.20 and 1,687.33

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Solution

The fourth proportional to 4,150.69, 6,228.20 and 1,687.33 is: 2,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.69 : 6,228.20 = 1,687.33 : x
  2. Step 2: Convert to fraction form
    4,150.69/6,228.20 = 1,687.33/x
  3. Step 3: Cross multiply
    4,150.69x = 6,228.20 × 1,687.33
  4. Step 4: Simplify right side
    4,150.69x = 10,509,028.71
  5. Step 5: Solve for x
    x = 10,509,028.71/4,150.69
  6. Step 6: Final answer
    x = 2,531.88

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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.