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Finding the Fourth Proportional to 3,169.64, 4,754.03 and 829.80

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Solution

The fourth proportional to 3,169.64, 4,754.03 and 829.80 is: 1,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.64 : 4,754.03 = 829.80 : x
  2. Step 2: Convert to fraction form
    3,169.64/4,754.03 = 829.80/x
  3. Step 3: Cross multiply
    3,169.64x = 4,754.03 × 829.80
  4. Step 4: Simplify right side
    3,169.64x = 3,944,894.09
  5. Step 5: Solve for x
    x = 3,944,894.09/3,169.64
  6. Step 6: Final answer
    x = 1,244.59

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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.