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Finding the Fourth Proportional to 2,847.38, 3,930 and 1,799.24

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Solution

The fourth proportional to 2,847.38, 3,930 and 1,799.24 is: 2,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.38 : 3,930 = 1,799.24 : x
  2. Step 2: Convert to fraction form
    2,847.38/3,930 = 1,799.24/x
  3. Step 3: Cross multiply
    2,847.38x = 3,930 × 1,799.24
  4. Step 4: Simplify right side
    2,847.38x = 7,071,013.20
  5. Step 5: Solve for x
    x = 7,071,013.20/2,847.38
  6. Step 6: Final answer
    x = 2,483.34

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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.