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Finding the Fourth Proportional to 4,151.69, 6,229.70 and 1,688.33

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Solution

The fourth proportional to 4,151.69, 6,229.70 and 1,688.33 is: 2,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.69 : 6,229.70 = 1,688.33 : x
  2. Step 2: Convert to fraction form
    4,151.69/6,229.70 = 1,688.33/x
  3. Step 3: Cross multiply
    4,151.69x = 6,229.70 × 1,688.33
  4. Step 4: Simplify right side
    4,151.69x = 10,517,789.40
  5. Step 5: Solve for x
    x = 10,517,789.40/4,151.69
  6. Step 6: Final answer
    x = 2,533.38

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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.