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Finding the Fourth Proportional to 2,767.80, 4,150.76 and 792.91

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Solution

The fourth proportional to 2,767.80, 4,150.76 and 792.91 is: 1,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.80 : 4,150.76 = 792.91 : x
  2. Step 2: Convert to fraction form
    2,767.80/4,150.76 = 792.91/x
  3. Step 3: Cross multiply
    2,767.80x = 4,150.76 × 792.91
  4. Step 4: Simplify right side
    2,767.80x = 3,291,161.45
  5. Step 5: Solve for x
    x = 3,291,161.45/2,767.80
  6. Step 6: Final answer
    x = 1,189.09

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