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Finding the Fourth Proportional to 2,200.16, 3,299.70 and 739.28

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Solution

The fourth proportional to 2,200.16, 3,299.70 and 739.28 is: 1,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.16 : 3,299.70 = 739.28 : x
  2. Step 2: Convert to fraction form
    2,200.16/3,299.70 = 739.28/x
  3. Step 3: Cross multiply
    2,200.16x = 3,299.70 × 739.28
  4. Step 4: Simplify right side
    2,200.16x = 2,439,402.22
  5. Step 5: Solve for x
    x = 2,439,402.22/2,200.16
  6. Step 6: Final answer
    x = 1,108.74

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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.