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Finding the Fourth Proportional to 2,635.83, 3,953.97 and 688.04

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Solution

The fourth proportional to 2,635.83, 3,953.97 and 688.04 is: 1,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.83 : 3,953.97 = 688.04 : x
  2. Step 2: Convert to fraction form
    2,635.83/3,953.97 = 688.04/x
  3. Step 3: Cross multiply
    2,635.83x = 3,953.97 × 688.04
  4. Step 4: Simplify right side
    2,635.83x = 2,720,469.75
  5. Step 5: Solve for x
    x = 2,720,469.75/2,635.83
  6. Step 6: Final answer
    x = 1,032.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.