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Finding the Fourth Proportional to 3,100.86, 4,652.73 and 1,930.56

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Solution

The fourth proportional to 3,100.86, 4,652.73 and 1,930.56 is: 2,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.86 : 4,652.73 = 1,930.56 : x
  2. Step 2: Convert to fraction form
    3,100.86/4,652.73 = 1,930.56/x
  3. Step 3: Cross multiply
    3,100.86x = 4,652.73 × 1,930.56
  4. Step 4: Simplify right side
    3,100.86x = 8,982,374.43
  5. Step 5: Solve for x
    x = 8,982,374.43/3,100.86
  6. Step 6: Final answer
    x = 2,896.74

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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.