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Finding the Fourth Proportional to 2,641.78, 3,961.51 and 792.55

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Solution

The fourth proportional to 2,641.78, 3,961.51 and 792.55 is: 1,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.78 : 3,961.51 = 792.55 : x
  2. Step 2: Convert to fraction form
    2,641.78/3,961.51 = 792.55/x
  3. Step 3: Cross multiply
    2,641.78x = 3,961.51 × 792.55
  4. Step 4: Simplify right side
    2,641.78x = 3,139,694.75
  5. Step 5: Solve for x
    x = 3,139,694.75/2,641.78
  6. Step 6: Final answer
    x = 1,188.48

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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.