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Finding the Fourth Proportional to 2,581.84, 3,872.52 and 850.46

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Solution

The fourth proportional to 2,581.84, 3,872.52 and 850.46 is: 1,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.84 : 3,872.52 = 850.46 : x
  2. Step 2: Convert to fraction form
    2,581.84/3,872.52 = 850.46/x
  3. Step 3: Cross multiply
    2,581.84x = 3,872.52 × 850.46
  4. Step 4: Simplify right side
    2,581.84x = 3,293,419.11
  5. Step 5: Solve for x
    x = 3,293,419.11/2,581.84
  6. Step 6: Final answer
    x = 1,275.61

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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.