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Finding the Fourth Proportional to 3,078.54, 4,618.07 and 997.73

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Solution

The fourth proportional to 3,078.54, 4,618.07 and 997.73 is: 1,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.54 : 4,618.07 = 997.73 : x
  2. Step 2: Convert to fraction form
    3,078.54/4,618.07 = 997.73/x
  3. Step 3: Cross multiply
    3,078.54x = 4,618.07 × 997.73
  4. Step 4: Simplify right side
    3,078.54x = 4,607,604.93
  5. Step 5: Solve for x
    x = 4,607,604.93/3,078.54
  6. Step 6: Final answer
    x = 1,496.68

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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.