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Finding the Fourth Proportional to 3,169.22, 4,753.70 and 829.19

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Solution

The fourth proportional to 3,169.22, 4,753.70 and 829.19 is: 1,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.22 : 4,753.70 = 829.19 : x
  2. Step 2: Convert to fraction form
    3,169.22/4,753.70 = 829.19/x
  3. Step 3: Cross multiply
    3,169.22x = 4,753.70 × 829.19
  4. Step 4: Simplify right side
    3,169.22x = 3,941,706.55
  5. Step 5: Solve for x
    x = 3,941,706.55/3,169.22
  6. Step 6: Final answer
    x = 1,243.75

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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.