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Finding the Fourth Proportional to 2,230.46, 3,346.48 and 997.76

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Solution

The fourth proportional to 2,230.46, 3,346.48 and 997.76 is: 1,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.46 : 3,346.48 = 997.76 : x
  2. Step 2: Convert to fraction form
    2,230.46/3,346.48 = 997.76/x
  3. Step 3: Cross multiply
    2,230.46x = 3,346.48 × 997.76
  4. Step 4: Simplify right side
    2,230.46x = 3,338,983.88
  5. Step 5: Solve for x
    x = 3,338,983.88/2,230.46
  6. Step 6: Final answer
    x = 1,496.99

Related Problems

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Double scale
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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.