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Finding the Fourth Proportional to 1,344.26, 1,854.42 and 819.38

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Solution

The fourth proportional to 1,344.26, 1,854.42 and 819.38 is: 1,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.26 : 1,854.42 = 819.38 : x
  2. Step 2: Convert to fraction form
    1,344.26/1,854.42 = 819.38/x
  3. Step 3: Cross multiply
    1,344.26x = 1,854.42 × 819.38
  4. Step 4: Simplify right side
    1,344.26x = 1,519,474.66
  5. Step 5: Solve for x
    x = 1,519,474.66/1,344.26
  6. Step 6: Final answer
    x = 1,130.34

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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.