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Finding the Fourth Proportional to 2,065.81, 3,099.72 and 834.11

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Solution

The fourth proportional to 2,065.81, 3,099.72 and 834.11 is: 1,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.81 : 3,099.72 = 834.11 : x
  2. Step 2: Convert to fraction form
    2,065.81/3,099.72 = 834.11/x
  3. Step 3: Cross multiply
    2,065.81x = 3,099.72 × 834.11
  4. Step 4: Simplify right side
    2,065.81x = 2,585,507.45
  5. Step 5: Solve for x
    x = 2,585,507.45/2,065.81
  6. Step 6: Final answer
    x = 1,251.57

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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.