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Finding the Fourth Proportional to 2,110.92, 2,913.24 and 1,226.67

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Solution

The fourth proportional to 2,110.92, 2,913.24 and 1,226.67 is: 1,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.92 : 2,913.24 = 1,226.67 : x
  2. Step 2: Convert to fraction form
    2,110.92/2,913.24 = 1,226.67/x
  3. Step 3: Cross multiply
    2,110.92x = 2,913.24 × 1,226.67
  4. Step 4: Simplify right side
    2,110.92x = 3,573,584.11
  5. Step 5: Solve for x
    x = 3,573,584.11/2,110.92
  6. Step 6: Final answer
    x = 1,692.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.