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Finding the Fourth Proportional to 2,961.02, 4,441.42 and 739.86

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Solution

The fourth proportional to 2,961.02, 4,441.42 and 739.86 is: 1,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.02 : 4,441.42 = 739.86 : x
  2. Step 2: Convert to fraction form
    2,961.02/4,441.42 = 739.86/x
  3. Step 3: Cross multiply
    2,961.02x = 4,441.42 × 739.86
  4. Step 4: Simplify right side
    2,961.02x = 3,286,029.00
  5. Step 5: Solve for x
    x = 3,286,029.00/2,961.02
  6. Step 6: Final answer
    x = 1,109.76

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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.