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Finding the Fourth Proportional to 2,834.94, 3,912.43 and 1,576.22

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Solution

The fourth proportional to 2,834.94, 3,912.43 and 1,576.22 is: 2,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.94 : 3,912.43 = 1,576.22 : x
  2. Step 2: Convert to fraction form
    2,834.94/3,912.43 = 1,576.22/x
  3. Step 3: Cross multiply
    2,834.94x = 3,912.43 × 1,576.22
  4. Step 4: Simplify right side
    2,834.94x = 6,166,856.26
  5. Step 5: Solve for x
    x = 6,166,856.26/2,834.94
  6. Step 6: Final answer
    x = 2,175.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.