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Finding the Fourth Proportional to 2,089.92, 3,135.04 and 791.68

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Solution

The fourth proportional to 2,089.92, 3,135.04 and 791.68 is: 1,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.92 : 3,135.04 = 791.68 : x
  2. Step 2: Convert to fraction form
    2,089.92/3,135.04 = 791.68/x
  3. Step 3: Cross multiply
    2,089.92x = 3,135.04 × 791.68
  4. Step 4: Simplify right side
    2,089.92x = 2,481,948.47
  5. Step 5: Solve for x
    x = 2,481,948.47/2,089.92
  6. Step 6: Final answer
    x = 1,187.58

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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.