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Finding the Fourth Proportional to 3,270.96, 4,899.51 and 1,517.40

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Solution

The fourth proportional to 3,270.96, 4,899.51 and 1,517.40 is: 2,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.96 : 4,899.51 = 1,517.40 : x
  2. Step 2: Convert to fraction form
    3,270.96/4,899.51 = 1,517.40/x
  3. Step 3: Cross multiply
    3,270.96x = 4,899.51 × 1,517.40
  4. Step 4: Simplify right side
    3,270.96x = 7,434,516.47
  5. Step 5: Solve for x
    x = 7,434,516.47/3,270.96
  6. Step 6: Final answer
    x = 2,272.89

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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.