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Finding the Fourth Proportional to 2,114.46, 3,169.89 and 816.84

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Solution

The fourth proportional to 2,114.46, 3,169.89 and 816.84 is: 1,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.46 : 3,169.89 = 816.84 : x
  2. Step 2: Convert to fraction form
    2,114.46/3,169.89 = 816.84/x
  3. Step 3: Cross multiply
    2,114.46x = 3,169.89 × 816.84
  4. Step 4: Simplify right side
    2,114.46x = 2,589,292.95
  5. Step 5: Solve for x
    x = 2,589,292.95/2,114.46
  6. Step 6: Final answer
    x = 1,224.56

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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.