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Finding the Fourth Proportional to 1,912.09, 2,868.41 and 613.26

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Solution

The fourth proportional to 1,912.09, 2,868.41 and 613.26 is: 919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.09 : 2,868.41 = 613.26 : x
  2. Step 2: Convert to fraction form
    1,912.09/2,868.41 = 613.26/x
  3. Step 3: Cross multiply
    1,912.09x = 2,868.41 × 613.26
  4. Step 4: Simplify right side
    1,912.09x = 1,759,081.12
  5. Step 5: Solve for x
    x = 1,759,081.12/1,912.09
  6. Step 6: Final answer
    x = 919.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.