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Finding the Fourth Proportional to 2,471.20, 3,704.64 and 1,814.56

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Solution

The fourth proportional to 2,471.20, 3,704.64 and 1,814.56 is: 2,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.20 : 3,704.64 = 1,814.56 : x
  2. Step 2: Convert to fraction form
    2,471.20/3,704.64 = 1,814.56/x
  3. Step 3: Cross multiply
    2,471.20x = 3,704.64 × 1,814.56
  4. Step 4: Simplify right side
    2,471.20x = 6,722,291.56
  5. Step 5: Solve for x
    x = 6,722,291.56/2,471.20
  6. Step 6: Final answer
    x = 2,720.25

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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.