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Finding the Fourth Proportional to 2,586.56, 3,879.81 and 943.10

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Solution

The fourth proportional to 2,586.56, 3,879.81 and 943.10 is: 1,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.56 : 3,879.81 = 943.10 : x
  2. Step 2: Convert to fraction form
    2,586.56/3,879.81 = 943.10/x
  3. Step 3: Cross multiply
    2,586.56x = 3,879.81 × 943.10
  4. Step 4: Simplify right side
    2,586.56x = 3,659,048.81
  5. Step 5: Solve for x
    x = 3,659,048.81/2,586.56
  6. Step 6: Final answer
    x = 1,414.64

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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.