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Finding the Fourth Proportional to 3,299.84, 4,949.61 and 834.71

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Solution

The fourth proportional to 3,299.84, 4,949.61 and 834.71 is: 1,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.84 : 4,949.61 = 834.71 : x
  2. Step 2: Convert to fraction form
    3,299.84/4,949.61 = 834.71/x
  3. Step 3: Cross multiply
    3,299.84x = 4,949.61 × 834.71
  4. Step 4: Simplify right side
    3,299.84x = 4,131,461.08
  5. Step 5: Solve for x
    x = 4,131,461.08/3,299.84
  6. Step 6: Final answer
    x = 1,252.02

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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.