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Finding the Fourth Proportional to 2,776.13, 3,832.72 and 1,729.61

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Solution

The fourth proportional to 2,776.13, 3,832.72 and 1,729.61 is: 2,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.13 : 3,832.72 = 1,729.61 : x
  2. Step 2: Convert to fraction form
    2,776.13/3,832.72 = 1,729.61/x
  3. Step 3: Cross multiply
    2,776.13x = 3,832.72 × 1,729.61
  4. Step 4: Simplify right side
    2,776.13x = 6,629,091.68
  5. Step 5: Solve for x
    x = 6,629,091.68/2,776.13
  6. Step 6: Final answer
    x = 2,387.89

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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.