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Finding the Fourth Proportional to 1,375.72, 1,898.66 and 1,142.44

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Solution

The fourth proportional to 1,375.72, 1,898.66 and 1,142.44 is: 1,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.72 : 1,898.66 = 1,142.44 : x
  2. Step 2: Convert to fraction form
    1,375.72/1,898.66 = 1,142.44/x
  3. Step 3: Cross multiply
    1,375.72x = 1,898.66 × 1,142.44
  4. Step 4: Simplify right side
    1,375.72x = 2,169,105.13
  5. Step 5: Solve for x
    x = 2,169,105.13/1,375.72
  6. Step 6: Final answer
    x = 1,576.71

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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.