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Finding the Fourth Proportional to 2,827.66, 4,241.67 and 879.73

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Solution

The fourth proportional to 2,827.66, 4,241.67 and 879.73 is: 1,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.66 : 4,241.67 = 879.73 : x
  2. Step 2: Convert to fraction form
    2,827.66/4,241.67 = 879.73/x
  3. Step 3: Cross multiply
    2,827.66x = 4,241.67 × 879.73
  4. Step 4: Simplify right side
    2,827.66x = 3,731,524.35
  5. Step 5: Solve for x
    x = 3,731,524.35/2,827.66
  6. Step 6: Final answer
    x = 1,319.65

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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.