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Finding the Fourth Proportional to 2,633.48, 3,949.98 and 989.96

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Solution

The fourth proportional to 2,633.48, 3,949.98 and 989.96 is: 1,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.48 : 3,949.98 = 989.96 : x
  2. Step 2: Convert to fraction form
    2,633.48/3,949.98 = 989.96/x
  3. Step 3: Cross multiply
    2,633.48x = 3,949.98 × 989.96
  4. Step 4: Simplify right side
    2,633.48x = 3,910,322.20
  5. Step 5: Solve for x
    x = 3,910,322.20/2,633.48
  6. Step 6: Final answer
    x = 1,484.85

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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.