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Finding the Fourth Proportional to 2,311.69, 3,190.13 and 1,485.13

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Solution

The fourth proportional to 2,311.69, 3,190.13 and 1,485.13 is: 2,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.69 : 3,190.13 = 1,485.13 : x
  2. Step 2: Convert to fraction form
    2,311.69/3,190.13 = 1,485.13/x
  3. Step 3: Cross multiply
    2,311.69x = 3,190.13 × 1,485.13
  4. Step 4: Simplify right side
    2,311.69x = 4,737,747.94
  5. Step 5: Solve for x
    x = 4,737,747.94/2,311.69
  6. Step 6: Final answer
    x = 2,049.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.