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Finding the Fourth Proportional to 2,069.87, 3,104.13 and 682.94

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Solution

The fourth proportional to 2,069.87, 3,104.13 and 682.94 is: 1,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.87 : 3,104.13 = 682.94 : x
  2. Step 2: Convert to fraction form
    2,069.87/3,104.13 = 682.94/x
  3. Step 3: Cross multiply
    2,069.87x = 3,104.13 × 682.94
  4. Step 4: Simplify right side
    2,069.87x = 2,119,942.30
  5. Step 5: Solve for x
    x = 2,119,942.30/2,069.87
  6. Step 6: Final answer
    x = 1,024.19

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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.