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Finding the Fourth Proportional to 3,182.38, 4,391.39 and 1,837.89

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Solution

The fourth proportional to 3,182.38, 4,391.39 and 1,837.89 is: 2,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.38 : 4,391.39 = 1,837.89 : x
  2. Step 2: Convert to fraction form
    3,182.38/4,391.39 = 1,837.89/x
  3. Step 3: Cross multiply
    3,182.38x = 4,391.39 × 1,837.89
  4. Step 4: Simplify right side
    3,182.38x = 8,070,883.44
  5. Step 5: Solve for x
    x = 8,070,883.44/3,182.38
  6. Step 6: Final answer
    x = 2,536.11

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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.