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Finding the Fourth Proportional to 1,912.28, 2,868.60 and 596.04

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Solution

The fourth proportional to 1,912.28, 2,868.60 and 596.04 is: 894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.28 : 2,868.60 = 596.04 : x
  2. Step 2: Convert to fraction form
    1,912.28/2,868.60 = 596.04/x
  3. Step 3: Cross multiply
    1,912.28x = 2,868.60 × 596.04
  4. Step 4: Simplify right side
    1,912.28x = 1,709,800.34
  5. Step 5: Solve for x
    x = 1,709,800.34/1,912.28
  6. Step 6: Final answer
    x = 894.12

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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.