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Finding the Fourth Proportional to 3,272.96, 4,903.20 and 2,446.40

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Solution

The fourth proportional to 3,272.96, 4,903.20 and 2,446.40 is: 3,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.96 : 4,903.20 = 2,446.40 : x
  2. Step 2: Convert to fraction form
    3,272.96/4,903.20 = 2,446.40/x
  3. Step 3: Cross multiply
    3,272.96x = 4,903.20 × 2,446.40
  4. Step 4: Simplify right side
    3,272.96x = 11,995,188.48
  5. Step 5: Solve for x
    x = 11,995,188.48/3,272.96
  6. Step 6: Final answer
    x = 3,664.94

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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.