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Finding the Fourth Proportional to 2,747.84, 4,122.42 and 1,016.48

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Solution

The fourth proportional to 2,747.84, 4,122.42 and 1,016.48 is: 1,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.84 : 4,122.42 = 1,016.48 : x
  2. Step 2: Convert to fraction form
    2,747.84/4,122.42 = 1,016.48/x
  3. Step 3: Cross multiply
    2,747.84x = 4,122.42 × 1,016.48
  4. Step 4: Simplify right side
    2,747.84x = 4,190,357.48
  5. Step 5: Solve for x
    x = 4,190,357.48/2,747.84
  6. Step 6: Final answer
    x = 1,524.96

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1.5x scale

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.