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Finding the Fourth Proportional to 1,704.39, 2,554.11 and 923.73

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Solution

The fourth proportional to 1,704.39, 2,554.11 and 923.73 is: 1,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.39 : 2,554.11 = 923.73 : x
  2. Step 2: Convert to fraction form
    1,704.39/2,554.11 = 923.73/x
  3. Step 3: Cross multiply
    1,704.39x = 2,554.11 × 923.73
  4. Step 4: Simplify right side
    1,704.39x = 2,359,308.03
  5. Step 5: Solve for x
    x = 2,359,308.03/1,704.39
  6. Step 6: Final answer
    x = 1,384.25

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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.