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Finding the Fourth Proportional to 2,579.70, 3,873.60 and 1,486.20

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Solution

The fourth proportional to 2,579.70, 3,873.60 and 1,486.20 is: 2,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.70 : 3,873.60 = 1,486.20 : x
  2. Step 2: Convert to fraction form
    2,579.70/3,873.60 = 1,486.20/x
  3. Step 3: Cross multiply
    2,579.70x = 3,873.60 × 1,486.20
  4. Step 4: Simplify right side
    2,579.70x = 5,756,944.32
  5. Step 5: Solve for x
    x = 5,756,944.32/2,579.70
  6. Step 6: Final answer
    x = 2,231.63

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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.