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Finding the Fourth Proportional to 1,704.34, 2,554.26 and 1,654.48

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Solution

The fourth proportional to 1,704.34, 2,554.26 and 1,654.48 is: 2,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.34 : 2,554.26 = 1,654.48 : x
  2. Step 2: Convert to fraction form
    1,704.34/2,554.26 = 1,654.48/x
  3. Step 3: Cross multiply
    1,704.34x = 2,554.26 × 1,654.48
  4. Step 4: Simplify right side
    1,704.34x = 4,225,972.08
  5. Step 5: Solve for x
    x = 4,225,972.08/1,704.34
  6. Step 6: Final answer
    x = 2,479.54

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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.