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Finding the Fourth Proportional to 3,344.96, 5,010.96 and 1,614.80

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Solution

The fourth proportional to 3,344.96, 5,010.96 and 1,614.80 is: 2,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.96 : 5,010.96 = 1,614.80 : x
  2. Step 2: Convert to fraction form
    3,344.96/5,010.96 = 1,614.80/x
  3. Step 3: Cross multiply
    3,344.96x = 5,010.96 × 1,614.80
  4. Step 4: Simplify right side
    3,344.96x = 8,091,698.21
  5. Step 5: Solve for x
    x = 8,091,698.21/3,344.96
  6. Step 6: Final answer
    x = 2,419.07

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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.