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Finding the Fourth Proportional to 2,998.54, 4,493.58 and 2,257.66

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Solution

The fourth proportional to 2,998.54, 4,493.58 and 2,257.66 is: 3,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.54 : 4,493.58 = 2,257.66 : x
  2. Step 2: Convert to fraction form
    2,998.54/4,493.58 = 2,257.66/x
  3. Step 3: Cross multiply
    2,998.54x = 4,493.58 × 2,257.66
  4. Step 4: Simplify right side
    2,998.54x = 10,144,975.82
  5. Step 5: Solve for x
    x = 10,144,975.82/2,998.54
  6. Step 6: Final answer
    x = 3,383.31

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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.