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Finding the Fourth Proportional to 2,474.80, 3,704.01 and 2,064.76

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Solution

The fourth proportional to 2,474.80, 3,704.01 and 2,064.76 is: 3,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.80 : 3,704.01 = 2,064.76 : x
  2. Step 2: Convert to fraction form
    2,474.80/3,704.01 = 2,064.76/x
  3. Step 3: Cross multiply
    2,474.80x = 3,704.01 × 2,064.76
  4. Step 4: Simplify right side
    2,474.80x = 7,647,891.69
  5. Step 5: Solve for x
    x = 7,647,891.69/2,474.80
  6. Step 6: Final answer
    x = 3,090.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.