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Finding the Fourth Proportional to 2,383.15, 3,573.81 and 995.77

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Solution

The fourth proportional to 2,383.15, 3,573.81 and 995.77 is: 1,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.15 : 3,573.81 = 995.77 : x
  2. Step 2: Convert to fraction form
    2,383.15/3,573.81 = 995.77/x
  3. Step 3: Cross multiply
    2,383.15x = 3,573.81 × 995.77
  4. Step 4: Simplify right side
    2,383.15x = 3,558,685.80
  5. Step 5: Solve for x
    x = 3,558,685.80/2,383.15
  6. Step 6: Final answer
    x = 1,493.27

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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.