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Finding the Fourth Proportional to 2,843.87, 4,266 and 1,675.58

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Solution

The fourth proportional to 2,843.87, 4,266 and 1,675.58 is: 2,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.87 : 4,266 = 1,675.58 : x
  2. Step 2: Convert to fraction form
    2,843.87/4,266 = 1,675.58/x
  3. Step 3: Cross multiply
    2,843.87x = 4,266 × 1,675.58
  4. Step 4: Simplify right side
    2,843.87x = 7,148,002.95
  5. Step 5: Solve for x
    x = 7,148,002.95/2,843.87
  6. Step 6: Final answer
    x = 2,513.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.