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Finding the Fourth Proportional to 1,642.38, 2,267.42 and 1,138.97

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Solution

The fourth proportional to 1,642.38, 2,267.42 and 1,138.97 is: 1,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.38 : 2,267.42 = 1,138.97 : x
  2. Step 2: Convert to fraction form
    1,642.38/2,267.42 = 1,138.97/x
  3. Step 3: Cross multiply
    1,642.38x = 2,267.42 × 1,138.97
  4. Step 4: Simplify right side
    1,642.38x = 2,582,506.33
  5. Step 5: Solve for x
    x = 2,582,506.33/1,642.38
  6. Step 6: Final answer
    x = 1,572.42

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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.