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Finding the Fourth Proportional to 1,912.50, 2,868.75 and 758.25

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Solution

The fourth proportional to 1,912.50, 2,868.75 and 758.25 is: 1,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.50 : 2,868.75 = 758.25 : x
  2. Step 2: Convert to fraction form
    1,912.50/2,868.75 = 758.25/x
  3. Step 3: Cross multiply
    1,912.50x = 2,868.75 × 758.25
  4. Step 4: Simplify right side
    1,912.50x = 2,175,229.69
  5. Step 5: Solve for x
    x = 2,175,229.69/1,912.50
  6. Step 6: Final answer
    x = 1,137.38

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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.