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Finding the Fourth Proportional to 4,610.97, 6,914.98 and 1,490.31

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Solution

The fourth proportional to 4,610.97, 6,914.98 and 1,490.31 is: 2,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.97 : 6,914.98 = 1,490.31 : x
  2. Step 2: Convert to fraction form
    4,610.97/6,914.98 = 1,490.31/x
  3. Step 3: Cross multiply
    4,610.97x = 6,914.98 × 1,490.31
  4. Step 4: Simplify right side
    4,610.97x = 10,305,456.39
  5. Step 5: Solve for x
    x = 10,305,456.39/4,610.97
  6. Step 6: Final answer
    x = 2,234.99

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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.