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Finding the Fourth Proportional to 3,173.30, 4,761.30 and 2,004.20

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Solution

The fourth proportional to 3,173.30, 4,761.30 and 2,004.20 is: 3,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.30 : 4,761.30 = 2,004.20 : x
  2. Step 2: Convert to fraction form
    3,173.30/4,761.30 = 2,004.20/x
  3. Step 3: Cross multiply
    3,173.30x = 4,761.30 × 2,004.20
  4. Step 4: Simplify right side
    3,173.30x = 9,542,597.46
  5. Step 5: Solve for x
    x = 9,542,597.46/3,173.30
  6. Step 6: Final answer
    x = 3,007.15

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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.