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Finding the Fourth Proportional to 2,641.33, 3,962.56 and 792.29

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Solution

The fourth proportional to 2,641.33, 3,962.56 and 792.29 is: 1,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.33 : 3,962.56 = 792.29 : x
  2. Step 2: Convert to fraction form
    2,641.33/3,962.56 = 792.29/x
  3. Step 3: Cross multiply
    2,641.33x = 3,962.56 × 792.29
  4. Step 4: Simplify right side
    2,641.33x = 3,139,515.55
  5. Step 5: Solve for x
    x = 3,139,515.55/2,641.33
  6. Step 6: Final answer
    x = 1,188.61

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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.