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Finding the Fourth Proportional to 2,682.94, 4,024.98 and 834.01

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Solution

The fourth proportional to 2,682.94, 4,024.98 and 834.01 is: 1,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.94 : 4,024.98 = 834.01 : x
  2. Step 2: Convert to fraction form
    2,682.94/4,024.98 = 834.01/x
  3. Step 3: Cross multiply
    2,682.94x = 4,024.98 × 834.01
  4. Step 4: Simplify right side
    2,682.94x = 3,356,873.57
  5. Step 5: Solve for x
    x = 3,356,873.57/2,682.94
  6. Step 6: Final answer
    x = 1,251.19

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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.