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Finding the Fourth Proportional to 2,230.76, 3,344.79 and 997.94

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Solution

The fourth proportional to 2,230.76, 3,344.79 and 997.94 is: 1,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.76 : 3,344.79 = 997.94 : x
  2. Step 2: Convert to fraction form
    2,230.76/3,344.79 = 997.94/x
  3. Step 3: Cross multiply
    2,230.76x = 3,344.79 × 997.94
  4. Step 4: Simplify right side
    2,230.76x = 3,337,911.84
  5. Step 5: Solve for x
    x = 3,337,911.84/2,230.76
  6. Step 6: Final answer
    x = 1,496.31

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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.