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Finding the Fourth Proportional to 3,134.73, 4,323.87 and 2,013.90

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Solution

The fourth proportional to 3,134.73, 4,323.87 and 2,013.90 is: 2,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.73 : 4,323.87 = 2,013.90 : x
  2. Step 2: Convert to fraction form
    3,134.73/4,323.87 = 2,013.90/x
  3. Step 3: Cross multiply
    3,134.73x = 4,323.87 × 2,013.90
  4. Step 4: Simplify right side
    3,134.73x = 8,707,841.79
  5. Step 5: Solve for x
    x = 8,707,841.79/3,134.73
  6. Step 6: Final answer
    x = 2,777.86

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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.