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Finding the Fourth Proportional to 1,805.29, 2,696.49 and 1,438.97

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Solution

The fourth proportional to 1,805.29, 2,696.49 and 1,438.97 is: 2,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.29 : 2,696.49 = 1,438.97 : x
  2. Step 2: Convert to fraction form
    1,805.29/2,696.49 = 1,438.97/x
  3. Step 3: Cross multiply
    1,805.29x = 2,696.49 × 1,438.97
  4. Step 4: Simplify right side
    1,805.29x = 3,880,154.73
  5. Step 5: Solve for x
    x = 3,880,154.73/1,805.29
  6. Step 6: Final answer
    x = 2,149.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.