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Finding the Fourth Proportional to 1,640.69, 2,265.09 and 1,266.89

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Solution

The fourth proportional to 1,640.69, 2,265.09 and 1,266.89 is: 1,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.69 : 2,265.09 = 1,266.89 : x
  2. Step 2: Convert to fraction form
    1,640.69/2,265.09 = 1,266.89/x
  3. Step 3: Cross multiply
    1,640.69x = 2,265.09 × 1,266.89
  4. Step 4: Simplify right side
    1,640.69x = 2,869,619.87
  5. Step 5: Solve for x
    x = 2,869,619.87/1,640.69
  6. Step 6: Final answer
    x = 1,749.03

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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.