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Finding the Fourth Proportional to 1,705.72, 2,553.60 and 1,296.46

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Solution

The fourth proportional to 1,705.72, 2,553.60 and 1,296.46 is: 1,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.72 : 2,553.60 = 1,296.46 : x
  2. Step 2: Convert to fraction form
    1,705.72/2,553.60 = 1,296.46/x
  3. Step 3: Cross multiply
    1,705.72x = 2,553.60 × 1,296.46
  4. Step 4: Simplify right side
    1,705.72x = 3,310,640.26
  5. Step 5: Solve for x
    x = 3,310,640.26/1,705.72
  6. Step 6: Final answer
    x = 1,940.90

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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.