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Finding the Fourth Proportional to 2,630.82, 3,944.52 and 985.98

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Solution

The fourth proportional to 2,630.82, 3,944.52 and 985.98 is: 1,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.82 : 3,944.52 = 985.98 : x
  2. Step 2: Convert to fraction form
    2,630.82/3,944.52 = 985.98/x
  3. Step 3: Cross multiply
    2,630.82x = 3,944.52 × 985.98
  4. Step 4: Simplify right side
    2,630.82x = 3,889,217.83
  5. Step 5: Solve for x
    x = 3,889,217.83/2,630.82
  6. Step 6: Final answer
    x = 1,478.33

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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.