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Finding the Fourth Proportional to 2,791.74, 3,848.19 and 2,230.44

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Solution

The fourth proportional to 2,791.74, 3,848.19 and 2,230.44 is: 3,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.74 : 3,848.19 = 2,230.44 : x
  2. Step 2: Convert to fraction form
    2,791.74/3,848.19 = 2,230.44/x
  3. Step 3: Cross multiply
    2,791.74x = 3,848.19 × 2,230.44
  4. Step 4: Simplify right side
    2,791.74x = 8,583,156.90
  5. Step 5: Solve for x
    x = 8,583,156.90/2,791.74
  6. Step 6: Final answer
    x = 3,074.48

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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.