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Finding the Fourth Proportional to 4,152.66, 6,229.05 and 1,231.80

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Solution

The fourth proportional to 4,152.66, 6,229.05 and 1,231.80 is: 1,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.66 : 6,229.05 = 1,231.80 : x
  2. Step 2: Convert to fraction form
    4,152.66/6,229.05 = 1,231.80/x
  3. Step 3: Cross multiply
    4,152.66x = 6,229.05 × 1,231.80
  4. Step 4: Simplify right side
    4,152.66x = 7,672,943.79
  5. Step 5: Solve for x
    x = 7,672,943.79/4,152.66
  6. Step 6: Final answer
    x = 1,847.72

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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.