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Finding the Fourth Proportional to 2,704.13, 4,054.75 and 829.69

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Solution

The fourth proportional to 2,704.13, 4,054.75 and 829.69 is: 1,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.13 : 4,054.75 = 829.69 : x
  2. Step 2: Convert to fraction form
    2,704.13/4,054.75 = 829.69/x
  3. Step 3: Cross multiply
    2,704.13x = 4,054.75 × 829.69
  4. Step 4: Simplify right side
    2,704.13x = 3,364,183.45
  5. Step 5: Solve for x
    x = 3,364,183.45/2,704.13
  6. Step 6: Final answer
    x = 1,244.09

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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.