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Finding the Fourth Proportional to 2,446.80, 3,376.36 and 1,384.67

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Solution

The fourth proportional to 2,446.80, 3,376.36 and 1,384.67 is: 1,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.80 : 3,376.36 = 1,384.67 : x
  2. Step 2: Convert to fraction form
    2,446.80/3,376.36 = 1,384.67/x
  3. Step 3: Cross multiply
    2,446.80x = 3,376.36 × 1,384.67
  4. Step 4: Simplify right side
    2,446.80x = 4,675,124.06
  5. Step 5: Solve for x
    x = 4,675,124.06/2,446.80
  6. Step 6: Final answer
    x = 1,910.71

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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.