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Finding the Fourth Proportional to 4,151.76, 6,227.63 and 1,229.84

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Solution

The fourth proportional to 4,151.76, 6,227.63 and 1,229.84 is: 1,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.76 : 6,227.63 = 1,229.84 : x
  2. Step 2: Convert to fraction form
    4,151.76/6,227.63 = 1,229.84/x
  3. Step 3: Cross multiply
    4,151.76x = 6,227.63 × 1,229.84
  4. Step 4: Simplify right side
    4,151.76x = 7,658,951.19
  5. Step 5: Solve for x
    x = 7,658,951.19/4,151.76
  6. Step 6: Final answer
    x = 1,844.75

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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.