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Finding the Fourth Proportional to 3,174.30, 4,749.30 and 2,080.80

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Solution

The fourth proportional to 3,174.30, 4,749.30 and 2,080.80 is: 3,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.30 : 4,749.30 = 2,080.80 : x
  2. Step 2: Convert to fraction form
    3,174.30/4,749.30 = 2,080.80/x
  3. Step 3: Cross multiply
    3,174.30x = 4,749.30 × 2,080.80
  4. Step 4: Simplify right side
    3,174.30x = 9,882,343.44
  5. Step 5: Solve for x
    x = 9,882,343.44/3,174.30
  6. Step 6: Final answer
    x = 3,113.24

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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.