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Finding the Fourth Proportional to 2,469.15, 3,407.54 and 1,350.20

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Solution

The fourth proportional to 2,469.15, 3,407.54 and 1,350.20 is: 1,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.15 : 3,407.54 = 1,350.20 : x
  2. Step 2: Convert to fraction form
    2,469.15/3,407.54 = 1,350.20/x
  3. Step 3: Cross multiply
    2,469.15x = 3,407.54 × 1,350.20
  4. Step 4: Simplify right side
    2,469.15x = 4,600,862.28
  5. Step 5: Solve for x
    x = 4,600,862.28/2,469.15
  6. Step 6: Final answer
    x = 1,863.34

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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.