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Finding the Fourth Proportional to 2,675.72, 3,693.65 and 2,012.73

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Solution

The fourth proportional to 2,675.72, 3,693.65 and 2,012.73 is: 2,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.72 : 3,693.65 = 2,012.73 : x
  2. Step 2: Convert to fraction form
    2,675.72/3,693.65 = 2,012.73/x
  3. Step 3: Cross multiply
    2,675.72x = 3,693.65 × 2,012.73
  4. Step 4: Simplify right side
    2,675.72x = 7,434,310.10
  5. Step 5: Solve for x
    x = 7,434,310.10/2,675.72
  6. Step 6: Final answer
    x = 2,778.44

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1.5x scale

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.