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Finding the Fourth Proportional to 2,469.32, 3,407.70 and 1,350.30

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Solution

The fourth proportional to 2,469.32, 3,407.70 and 1,350.30 is: 1,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.32 : 3,407.70 = 1,350.30 : x
  2. Step 2: Convert to fraction form
    2,469.32/3,407.70 = 1,350.30/x
  3. Step 3: Cross multiply
    2,469.32x = 3,407.70 × 1,350.30
  4. Step 4: Simplify right side
    2,469.32x = 4,601,435.15
  5. Step 5: Solve for x
    x = 4,601,435.15/2,469.32
  6. Step 6: Final answer
    x = 1,863.44

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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.