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Finding the Fourth Proportional to 2,641.75, 3,962.79 and 792.69

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Solution

The fourth proportional to 2,641.75, 3,962.79 and 792.69 is: 1,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.75 : 3,962.79 = 792.69 : x
  2. Step 2: Convert to fraction form
    2,641.75/3,962.79 = 792.69/x
  3. Step 3: Cross multiply
    2,641.75x = 3,962.79 × 792.69
  4. Step 4: Simplify right side
    2,641.75x = 3,141,249.14
  5. Step 5: Solve for x
    x = 3,141,249.14/2,641.75
  6. Step 6: Final answer
    x = 1,189.08

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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.