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Finding the Fourth Proportional to 3,092.70, 4,640.40 and 1,704.36

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Solution

The fourth proportional to 3,092.70, 4,640.40 and 1,704.36 is: 2,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.70 : 4,640.40 = 1,704.36 : x
  2. Step 2: Convert to fraction form
    3,092.70/4,640.40 = 1,704.36/x
  3. Step 3: Cross multiply
    3,092.70x = 4,640.40 × 1,704.36
  4. Step 4: Simplify right side
    3,092.70x = 7,908,912.14
  5. Step 5: Solve for x
    x = 7,908,912.14/3,092.70
  6. Step 6: Final answer
    x = 2,557.28

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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.