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Finding the Fourth Proportional to 2,200.10, 3,299.63 and 639.69

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Solution

The fourth proportional to 2,200.10, 3,299.63 and 639.69 is: 959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.10 : 3,299.63 = 639.69 : x
  2. Step 2: Convert to fraction form
    2,200.10/3,299.63 = 639.69/x
  3. Step 3: Cross multiply
    2,200.10x = 3,299.63 × 639.69
  4. Step 4: Simplify right side
    2,200.10x = 2,110,740.31
  5. Step 5: Solve for x
    x = 2,110,740.31/2,200.10
  6. Step 6: Final answer
    x = 959.38

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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.