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Finding the Fourth Proportional to 3,410.69, 4,704.90 and 2,333.03

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Solution

The fourth proportional to 3,410.69, 4,704.90 and 2,333.03 is: 3,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.69 : 4,704.90 = 2,333.03 : x
  2. Step 2: Convert to fraction form
    3,410.69/4,704.90 = 2,333.03/x
  3. Step 3: Cross multiply
    3,410.69x = 4,704.90 × 2,333.03
  4. Step 4: Simplify right side
    3,410.69x = 10,976,657.09
  5. Step 5: Solve for x
    x = 10,976,657.09/3,410.69
  6. Step 6: Final answer
    x = 3,218.31

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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.