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Finding the Fourth Proportional to 3,200.64, 4,415.20 and 2,204.19

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Solution

The fourth proportional to 3,200.64, 4,415.20 and 2,204.19 is: 3,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.64 : 4,415.20 = 2,204.19 : x
  2. Step 2: Convert to fraction form
    3,200.64/4,415.20 = 2,204.19/x
  3. Step 3: Cross multiply
    3,200.64x = 4,415.20 × 2,204.19
  4. Step 4: Simplify right side
    3,200.64x = 9,731,939.69
  5. Step 5: Solve for x
    x = 9,731,939.69/3,200.64
  6. Step 6: Final answer
    x = 3,040.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.