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Finding the Fourth Proportional to 3,021.60, 4,536 and 2,204.64

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Solution

The fourth proportional to 3,021.60, 4,536 and 2,204.64 is: 3,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.60 : 4,536 = 2,204.64 : x
  2. Step 2: Convert to fraction form
    3,021.60/4,536 = 2,204.64/x
  3. Step 3: Cross multiply
    3,021.60x = 4,536 × 2,204.64
  4. Step 4: Simplify right side
    3,021.60x = 10,000,247.04
  5. Step 5: Solve for x
    x = 10,000,247.04/3,021.60
  6. Step 6: Final answer
    x = 3,309.59

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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.