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Finding the Fourth Proportional to 1,640.70, 2,262.60 and 1,267.07

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Solution

The fourth proportional to 1,640.70, 2,262.60 and 1,267.07 is: 1,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.70 : 2,262.60 = 1,267.07 : x
  2. Step 2: Convert to fraction form
    1,640.70/2,262.60 = 1,267.07/x
  3. Step 3: Cross multiply
    1,640.70x = 2,262.60 × 1,267.07
  4. Step 4: Simplify right side
    1,640.70x = 2,866,861.27
  5. Step 5: Solve for x
    x = 2,866,861.27/1,640.70
  6. Step 6: Final answer
    x = 1,747.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.