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Finding the Fourth Proportional to 2,833.52, 3,910.01 and 1,638.29

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Solution

The fourth proportional to 2,833.52, 3,910.01 and 1,638.29 is: 2,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.52 : 3,910.01 = 1,638.29 : x
  2. Step 2: Convert to fraction form
    2,833.52/3,910.01 = 1,638.29/x
  3. Step 3: Cross multiply
    2,833.52x = 3,910.01 × 1,638.29
  4. Step 4: Simplify right side
    2,833.52x = 6,405,731.87
  5. Step 5: Solve for x
    x = 6,405,731.87/2,833.52
  6. Step 6: Final answer
    x = 2,260.70

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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.