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Finding the Fourth Proportional to 2,834.70, 4,252.02 and 1,998.33

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Solution

The fourth proportional to 2,834.70, 4,252.02 and 1,998.33 is: 2,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.70 : 4,252.02 = 1,998.33 : x
  2. Step 2: Convert to fraction form
    2,834.70/4,252.02 = 1,998.33/x
  3. Step 3: Cross multiply
    2,834.70x = 4,252.02 × 1,998.33
  4. Step 4: Simplify right side
    2,834.70x = 8,496,939.13
  5. Step 5: Solve for x
    x = 8,496,939.13/2,834.70
  6. Step 6: Final answer
    x = 2,997.47

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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.