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Finding the Fourth Proportional to 2,199.59, 3,299.87 and 812.94

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Solution

The fourth proportional to 2,199.59, 3,299.87 and 812.94 is: 1,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.59 : 3,299.87 = 812.94 : x
  2. Step 2: Convert to fraction form
    2,199.59/3,299.87 = 812.94/x
  3. Step 3: Cross multiply
    2,199.59x = 3,299.87 × 812.94
  4. Step 4: Simplify right side
    2,199.59x = 2,682,585.98
  5. Step 5: Solve for x
    x = 2,682,585.98/2,199.59
  6. Step 6: Final answer
    x = 1,219.59

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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.