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Finding the Fourth Proportional to 3,200.89, 4,800.57 and 1,226.11

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Solution

The fourth proportional to 3,200.89, 4,800.57 and 1,226.11 is: 1,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.89 : 4,800.57 = 1,226.11 : x
  2. Step 2: Convert to fraction form
    3,200.89/4,800.57 = 1,226.11/x
  3. Step 3: Cross multiply
    3,200.89x = 4,800.57 × 1,226.11
  4. Step 4: Simplify right side
    3,200.89x = 5,886,026.88
  5. Step 5: Solve for x
    x = 5,886,026.88/3,200.89
  6. Step 6: Final answer
    x = 1,838.87

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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.