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Finding the Fourth Proportional to 2,090.95, 3,136.91 and 792.43

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Solution

The fourth proportional to 2,090.95, 3,136.91 and 792.43 is: 1,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.95 : 3,136.91 = 792.43 : x
  2. Step 2: Convert to fraction form
    2,090.95/3,136.91 = 792.43/x
  3. Step 3: Cross multiply
    2,090.95x = 3,136.91 × 792.43
  4. Step 4: Simplify right side
    2,090.95x = 2,485,769.79
  5. Step 5: Solve for x
    x = 2,485,769.79/2,090.95
  6. Step 6: Final answer
    x = 1,188.82

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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.