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Finding the Fourth Proportional to 1,741.80, 2,611.94 and 817.68

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Solution

The fourth proportional to 1,741.80, 2,611.94 and 817.68 is: 1,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.80 : 2,611.94 = 817.68 : x
  2. Step 2: Convert to fraction form
    1,741.80/2,611.94 = 817.68/x
  3. Step 3: Cross multiply
    1,741.80x = 2,611.94 × 817.68
  4. Step 4: Simplify right side
    1,741.80x = 2,135,727.01
  5. Step 5: Solve for x
    x = 2,135,727.01/1,741.80
  6. Step 6: Final answer
    x = 1,226.16

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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.