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Finding the Fourth Proportional to 3,431.98, 5,154.97 and 2,263.67

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Solution

The fourth proportional to 3,431.98, 5,154.97 and 2,263.67 is: 3,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.98 : 5,154.97 = 2,263.67 : x
  2. Step 2: Convert to fraction form
    3,431.98/5,154.97 = 2,263.67/x
  3. Step 3: Cross multiply
    3,431.98x = 5,154.97 × 2,263.67
  4. Step 4: Simplify right side
    3,431.98x = 11,669,150.94
  5. Step 5: Solve for x
    x = 11,669,150.94/3,431.98
  6. Step 6: Final answer
    x = 3,400.12

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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.