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Finding the Fourth Proportional to 2,579.20, 3,874.56 and 2,482

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Solution

The fourth proportional to 2,579.20, 3,874.56 and 2,482 is: 3,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.20 : 3,874.56 = 2,482 : x
  2. Step 2: Convert to fraction form
    2,579.20/3,874.56 = 2,482/x
  3. Step 3: Cross multiply
    2,579.20x = 3,874.56 × 2,482
  4. Step 4: Simplify right side
    2,579.20x = 9,616,657.92
  5. Step 5: Solve for x
    x = 9,616,657.92/2,579.20
  6. Step 6: Final answer
    x = 3,728.54

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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.