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Finding the Fourth Proportional to 2,473.82, 3,711.46 and 742.44

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Solution

The fourth proportional to 2,473.82, 3,711.46 and 742.44 is: 1,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.82 : 3,711.46 = 742.44 : x
  2. Step 2: Convert to fraction form
    2,473.82/3,711.46 = 742.44/x
  3. Step 3: Cross multiply
    2,473.82x = 3,711.46 × 742.44
  4. Step 4: Simplify right side
    2,473.82x = 2,755,536.36
  5. Step 5: Solve for x
    x = 2,755,536.36/2,473.82
  6. Step 6: Final answer
    x = 1,113.88

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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.