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Finding the Fourth Proportional to 2,199.45, 3,299.48 and 739.02

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Solution

The fourth proportional to 2,199.45, 3,299.48 and 739.02 is: 1,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.45 : 3,299.48 = 739.02 : x
  2. Step 2: Convert to fraction form
    2,199.45/3,299.48 = 739.02/x
  3. Step 3: Cross multiply
    2,199.45x = 3,299.48 × 739.02
  4. Step 4: Simplify right side
    2,199.45x = 2,438,369.77
  5. Step 5: Solve for x
    x = 2,438,369.77/2,199.45
  6. Step 6: Final answer
    x = 1,108.63

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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.