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Finding the Fourth Proportional to 2,446.78, 3,376.68 and 1,399.18

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Solution

The fourth proportional to 2,446.78, 3,376.68 and 1,399.18 is: 1,930.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.78 : 3,376.68 = 1,399.18 : x
  2. Step 2: Convert to fraction form
    2,446.78/3,376.68 = 1,399.18/x
  3. Step 3: Cross multiply
    2,446.78x = 3,376.68 × 1,399.18
  4. Step 4: Simplify right side
    2,446.78x = 4,724,583.12
  5. Step 5: Solve for x
    x = 4,724,583.12/2,446.78
  6. Step 6: Final answer
    x = 1,930.94

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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.