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Finding the Fourth Proportional to 1,704.33, 2,554.83 and 1,054.71

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Solution

The fourth proportional to 1,704.33, 2,554.83 and 1,054.71 is: 1,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.33 : 2,554.83 = 1,054.71 : x
  2. Step 2: Convert to fraction form
    1,704.33/2,554.83 = 1,054.71/x
  3. Step 3: Cross multiply
    1,704.33x = 2,554.83 × 1,054.71
  4. Step 4: Simplify right side
    1,704.33x = 2,694,604.75
  5. Step 5: Solve for x
    x = 2,694,604.75/1,704.33
  6. Step 6: Final answer
    x = 1,581.03

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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.