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Finding the Fourth Proportional to 1,704.01, 2,553.89 and 1,471.95

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Solution

The fourth proportional to 1,704.01, 2,553.89 and 1,471.95 is: 2,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.01 : 2,553.89 = 1,471.95 : x
  2. Step 2: Convert to fraction form
    1,704.01/2,553.89 = 1,471.95/x
  3. Step 3: Cross multiply
    1,704.01x = 2,553.89 × 1,471.95
  4. Step 4: Simplify right side
    1,704.01x = 3,759,198.39
  5. Step 5: Solve for x
    x = 3,759,198.39/1,704.01
  6. Step 6: Final answer
    x = 2,206.09

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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.