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Finding the Fourth Proportional to 2,033.82, 3,051 and 995.76

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Solution

The fourth proportional to 2,033.82, 3,051 and 995.76 is: 1,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.82 : 3,051 = 995.76 : x
  2. Step 2: Convert to fraction form
    2,033.82/3,051 = 995.76/x
  3. Step 3: Cross multiply
    2,033.82x = 3,051 × 995.76
  4. Step 4: Simplify right side
    2,033.82x = 3,038,063.76
  5. Step 5: Solve for x
    x = 3,038,063.76/2,033.82
  6. Step 6: Final answer
    x = 1,493.77

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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.