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Finding the Fourth Proportional to 4,151.69, 6,227.49 and 1,230.02

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Solution

The fourth proportional to 4,151.69, 6,227.49 and 1,230.02 is: 1,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.69 : 6,227.49 = 1,230.02 : x
  2. Step 2: Convert to fraction form
    4,151.69/6,227.49 = 1,230.02/x
  3. Step 3: Cross multiply
    4,151.69x = 6,227.49 × 1,230.02
  4. Step 4: Simplify right side
    4,151.69x = 7,659,937.25
  5. Step 5: Solve for x
    x = 7,659,937.25/4,151.69
  6. Step 6: Final answer
    x = 1,845.02

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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.