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Finding the Fourth Proportional to 4,150.84, 6,226.08 and 1,229.08

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Solution

The fourth proportional to 4,150.84, 6,226.08 and 1,229.08 is: 1,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.84 : 6,226.08 = 1,229.08 : x
  2. Step 2: Convert to fraction form
    4,150.84/6,226.08 = 1,229.08/x
  3. Step 3: Cross multiply
    4,150.84x = 6,226.08 × 1,229.08
  4. Step 4: Simplify right side
    4,150.84x = 7,652,350.41
  5. Step 5: Solve for x
    x = 7,652,350.41/4,150.84
  6. Step 6: Final answer
    x = 1,843.57

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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.