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Finding the Fourth Proportional to 1,701.09, 2,551.97 and 727.18

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Solution

The fourth proportional to 1,701.09, 2,551.97 and 727.18 is: 1,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.09 : 2,551.97 = 727.18 : x
  2. Step 2: Convert to fraction form
    1,701.09/2,551.97 = 727.18/x
  3. Step 3: Cross multiply
    1,701.09x = 2,551.97 × 727.18
  4. Step 4: Simplify right side
    1,701.09x = 1,855,736.98
  5. Step 5: Solve for x
    x = 1,855,736.98/1,701.09
  6. Step 6: Final answer
    x = 1,090.91

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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.