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Finding the Fourth Proportional to 2,069.43, 3,104.25 and 682.89

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Solution

The fourth proportional to 2,069.43, 3,104.25 and 682.89 is: 1,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.43 : 3,104.25 = 682.89 : x
  2. Step 2: Convert to fraction form
    2,069.43/3,104.25 = 682.89/x
  3. Step 3: Cross multiply
    2,069.43x = 3,104.25 × 682.89
  4. Step 4: Simplify right side
    2,069.43x = 2,119,858.08
  5. Step 5: Solve for x
    x = 2,119,858.08/2,069.43
  6. Step 6: Final answer
    x = 1,024.37

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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.