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Finding the Fourth Proportional to 2,555.72, 3,833.83 and 995.86

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Solution

The fourth proportional to 2,555.72, 3,833.83 and 995.86 is: 1,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.72 : 3,833.83 = 995.86 : x
  2. Step 2: Convert to fraction form
    2,555.72/3,833.83 = 995.86/x
  3. Step 3: Cross multiply
    2,555.72x = 3,833.83 × 995.86
  4. Step 4: Simplify right side
    2,555.72x = 3,817,938.77
  5. Step 5: Solve for x
    x = 3,817,938.77/2,555.72
  6. Step 6: Final answer
    x = 1,493.88

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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.