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Finding the Fourth Proportional to 2,469.93, 3,406.90 and 1,474.44

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Solution

The fourth proportional to 2,469.93, 3,406.90 and 1,474.44 is: 2,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.93 : 3,406.90 = 1,474.44 : x
  2. Step 2: Convert to fraction form
    2,469.93/3,406.90 = 1,474.44/x
  3. Step 3: Cross multiply
    2,469.93x = 3,406.90 × 1,474.44
  4. Step 4: Simplify right side
    2,469.93x = 5,023,269.64
  5. Step 5: Solve for x
    x = 5,023,269.64/2,469.93
  6. Step 6: Final answer
    x = 2,033.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.