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Finding the Fourth Proportional to 2,961.80, 4,438.38 and 1,663.64

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Solution

The fourth proportional to 2,961.80, 4,438.38 and 1,663.64 is: 2,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.80 : 4,438.38 = 1,663.64 : x
  2. Step 2: Convert to fraction form
    2,961.80/4,438.38 = 1,663.64/x
  3. Step 3: Cross multiply
    2,961.80x = 4,438.38 × 1,663.64
  4. Step 4: Simplify right side
    2,961.80x = 7,383,866.50
  5. Step 5: Solve for x
    x = 7,383,866.50/2,961.80
  6. Step 6: Final answer
    x = 2,493.03

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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.