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Finding the Fourth Proportional to 2,072.93, 2,861.57 and 1,327.88

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Solution

The fourth proportional to 2,072.93, 2,861.57 and 1,327.88 is: 1,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.93 : 2,861.57 = 1,327.88 : x
  2. Step 2: Convert to fraction form
    2,072.93/2,861.57 = 1,327.88/x
  3. Step 3: Cross multiply
    2,072.93x = 2,861.57 × 1,327.88
  4. Step 4: Simplify right side
    2,072.93x = 3,799,832.05
  5. Step 5: Solve for x
    x = 3,799,832.05/2,072.93
  6. Step 6: Final answer
    x = 1,833.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.