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Finding the Fourth Proportional to 2,478.20, 3,717.73 and 834.75

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Solution

The fourth proportional to 2,478.20, 3,717.73 and 834.75 is: 1,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.20 : 3,717.73 = 834.75 : x
  2. Step 2: Convert to fraction form
    2,478.20/3,717.73 = 834.75/x
  3. Step 3: Cross multiply
    2,478.20x = 3,717.73 × 834.75
  4. Step 4: Simplify right side
    2,478.20x = 3,103,375.12
  5. Step 5: Solve for x
    x = 3,103,375.12/2,478.20
  6. Step 6: Final answer
    x = 1,252.27

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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.