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Finding the Fourth Proportional to 2,469.57, 3,705.81 and 910.67

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Solution

The fourth proportional to 2,469.57, 3,705.81 and 910.67 is: 1,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.57 : 3,705.81 = 910.67 : x
  2. Step 2: Convert to fraction form
    2,469.57/3,705.81 = 910.67/x
  3. Step 3: Cross multiply
    2,469.57x = 3,705.81 × 910.67
  4. Step 4: Simplify right side
    2,469.57x = 3,374,769.99
  5. Step 5: Solve for x
    x = 3,374,769.99/2,469.57
  6. Step 6: Final answer
    x = 1,366.54

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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.