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Finding the Fourth Proportional to 2,228.39, 3,342.61 and 995.87

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Solution

The fourth proportional to 2,228.39, 3,342.61 and 995.87 is: 1,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.39 : 3,342.61 = 995.87 : x
  2. Step 2: Convert to fraction form
    2,228.39/3,342.61 = 995.87/x
  3. Step 3: Cross multiply
    2,228.39x = 3,342.61 × 995.87
  4. Step 4: Simplify right side
    2,228.39x = 3,328,788.31
  5. Step 5: Solve for x
    x = 3,328,788.31/2,228.39
  6. Step 6: Final answer
    x = 1,493.81

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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.