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Finding the Fourth Proportional to 2,469.30, 3,406.23 and 1,421.16

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Solution

The fourth proportional to 2,469.30, 3,406.23 and 1,421.16 is: 1,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.30 : 3,406.23 = 1,421.16 : x
  2. Step 2: Convert to fraction form
    2,469.30/3,406.23 = 1,421.16/x
  3. Step 3: Cross multiply
    2,469.30x = 3,406.23 × 1,421.16
  4. Step 4: Simplify right side
    2,469.30x = 4,840,797.83
  5. Step 5: Solve for x
    x = 4,840,797.83/2,469.30
  6. Step 6: Final answer
    x = 1,960.39

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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.