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Finding the Fourth Proportional to 2,376.78, 3,586.43 and 2,286.78

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Solution

The fourth proportional to 2,376.78, 3,586.43 and 2,286.78 is: 3,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.78 : 3,586.43 = 2,286.78 : x
  2. Step 2: Convert to fraction form
    2,376.78/3,586.43 = 2,286.78/x
  3. Step 3: Cross multiply
    2,376.78x = 3,586.43 × 2,286.78
  4. Step 4: Simplify right side
    2,376.78x = 8,201,364.96
  5. Step 5: Solve for x
    x = 8,201,364.96/2,376.78
  6. Step 6: Final answer
    x = 3,450.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.