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Finding the Fourth Proportional to 1,640.88, 2,265.09 and 1,325.38

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Solution

The fourth proportional to 1,640.88, 2,265.09 and 1,325.38 is: 1,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.88 : 2,265.09 = 1,325.38 : x
  2. Step 2: Convert to fraction form
    1,640.88/2,265.09 = 1,325.38/x
  3. Step 3: Cross multiply
    1,640.88x = 2,265.09 × 1,325.38
  4. Step 4: Simplify right side
    1,640.88x = 3,002,104.98
  5. Step 5: Solve for x
    x = 3,002,104.98/1,640.88
  6. Step 6: Final answer
    x = 1,829.57

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Why These Related Problems?

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